The JEE Main question paper 2021 for day 4 i.e. 26 February shift 1 and 2 is now available. Yesterday, the question papers for 25 Feb shift 1, 2 (paper 1 – BE / B.Tech) were published. And before this, the JEE Main 2021 question paper PDF for day 1 i.e 24, 23 February shift 1 (paper 2A for B.Arch), shift 2 (2B for B.Planning) were published. Just after the exam is over, in every shift, memory-based questions and answers are made available. Along with it, the answer key for JEE Main 2021 is also provided. NTA will later release JEE Main question paper 2021 a few days after the exam at jeemain.nta.nic.in. You can download JEE Main 2021 question paper pdf for all days and shifts here.

## JEE Main 2021 Question Paper

From the table below check the question paper for JEE Main Feb 2021:

Exam Date | Link for JEE Main 2021 Question Paper with Answers | Link To Download JEE Main February 2021 Question paper PDF |
---|---|---|

23 Feb 2021 | Click Here for JEE Main 23 Feb 2021 Question Paper with Answer Key, Solutions | |

24 Feb 2021 Shift 1 | Click Here for JEE Main 24 Feb 2021 Question Paper with Answer Key, Solutions | JEE Main 2021 Question Paper by Resonance for 24 Feb Shift 1Physics – Chemistry – Mathematics – JEE Main 2021 Question Paper by Reliable Kota for 24 Feb Shift 1Physics – Chemistry – Mathematics – |

24 Feb 2021 Shift 2 | Click Here for JEE Main 24 Feb 2021 Question Paper with Answer Key, Solutions | JEE Main 2021 Question Paper by Resonance for 24 Feb Shift 2Physics – Chemistry – Mathematics – JEE Main 2021 Question Paper by Reliable Kota for 24 Feb Shift 2Physics – Chemistry – Mathematics – |

25 Feb 2021 shift 1 | Click Here for JEE Main 25 Feb 2021 Question Paper with Answer Key, Solutions | JEE Main 2021 Question Paper by Resonance for 25 Feb Shift 1Physics – Chemistry – Mathematics – JEE Main 2021 Question Paper by Reliable Kota for 25 Feb Shift 1Physics – Chemistry – Mathematics – |

25 Feb 2021 shift 2 | Click Here for JEE Main 25 Feb 2021 Question Paper with Answer Key, Solutions | JEE Main 2021 Question Paper by Resonance for 25 Feb Shift 2Physics – Chemistry – Mathematics – JEE Main 2021 Question Paper by Reliable Kota for 25 Feb Shift 2Physics – Chemistry – Mathematics – |

26 Feb 2021 shift 1 | Click Here for JEE Main 26 Feb 2021 Shift 1 Question Paper with Answer Key, Solutions | JEE Main 2021 Answer Key by Resonance for 26 Feb Shift 1Physics – Chemistry – Mathematics – JEE Main 2021 Answer Key by Reliable Kota for 26 Feb Shift 1Physics – Chemistry – Mathematics – |

26 Feb 2021 shift 2 | Click Here for JEE Main 26 Feb 2021 Shift 2 Question Paper with Answer Key, Solutions | JEE Main 2021 Answer Key by Resonance for 26 Feb Shift 2Physics – Chemistry – Mathematics – JEE Main 2021 Answer Key by Reliable Kota for 26 Feb Shift 2Physics – Chemistry – Mathematics – |

### JEE Main 2021 Question Paper of Exam Held on 26 February Shift 2

**Ques.**

**Ques. **A chord is tied to a wheel of moment of Inertia ‘I’ and R radius. The other end attached to mass ‘m’. If the mass ‘m’ falls by H, the square of angular speed of the wheel is _____**Ans. **2mgh/ I+mr^{2}

**Ques. **Find the dimension of C/V**Ans.** M^{-2}L^{-4}T^{7}A^{3}

**Ques. **If a wire of length l has a resistance R is stretched by 25%. The percentage change in its resistance is**Ans. **50%

**Ques.**

**Ques. **Acidic nature of the oxides**Ans.** B2O2, SiO2

**Ques. **Number of octahedral voids in (CP)HCP

**Ques.**

**Ques. **Seliwanoff and Xantho proteic test are respectively used for identification of ______**Ans.** Ktose, Proteins

**Ques.** 3, 5, 5, 4, 4, 4 – seven digit number are formed. Find the probability that the number is divisible by 2.**Ans. **3/7

**Ques.**

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**Ques. **Find the metal in the following ores –

- Calmine – Zn
- Cryolite – Na3AlF6
- Haemitite – Iron
- Bauxite – Al
- Malachite – Cu

**Ques.**

**Ques.** Cerix ammounium nitrate test and CHCl3 / Alcoholic KOH test is for**Ans.** alcohol & amine

**Ques. **A body starts from rest with acceleration a_{1} till time t_{1}. Then body retarted with acceleration a_{2} and t_{2}. And finally comes to rest. Then t_{1}/t_{2} is ___**Ans. **a_{1}/a_{2}

**Ques. **C / v =lamda

Then find dimension of lamda

Where c is capacity

V is voltage

**Ques.** The recoil speed of a hydrogen atom after it emits a photon in going from n=5 state to n=1 state is?**Ans.** 4.178m/sec

**Ques.**

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**Ques**. 2-4 DNP test is given by?**Ans**. Aldehyde or Ketone

**Ques.** Match the following:

a)N_{2 }i) 3

b)F_{2} ii) 2

c)O_{2} iii) 1

d)Ne_{2} iv) 0

**Ques**. Arrange in increasing order of electron gain enthalpy – O, S, Se, Te.**Ans**. S>O>Se>Te

**Ques. **Velocity versus displacement graphs looks _____**Ans.** Eclipse

**Ques. **CH_{2}CH_{2}CH_{2}CH_{3} – Hybridistaion of all carbon

**Ques. **4x^{2} + 9y^{2} = 36 and 2x^{2} + 2y^{2} = 31. Find the Slope of common tangent.

### JEE Main 2021 Question Paper of Exam Held on 26 February Shift 1

**Ques. **An alternating current is given by the equation i=i1 sinωt + i2 cosωt. The rms value of the current will be?

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**Ques. **Seven digit integer whose number is 10 by using 1, 2, 3. How many possibilities are there?**Ans.** 77

**Ques. **

**Ques. **pi~pi/2sin2x dx

**Ques.** Intersection of lines x-y = 0. x+2y = 3, 2x+y = 6. Find whether**Ans.** Isosceles

**Ques. **sin-¹x/a = cos-¹x/b = tan-1y/c. find the value of πc/a+b

**Ques. **Sigma n= 1 to 100 int of e^x-[x] from 0 to π/2

**Ques.** Symmetric matrix of order 2×2 sum of diagnol element of A^{2} = 1, then the possible number of matrix is**Ans**. 6

**Ques.**

**Ans.** 0

**Ques. **If λ_{1} and λ_{2} are wavelength third member of ryman and 1st no. of paschen series respectively. The value of λ_{1}:λ_{2} is**Ans.** 7:135

**Ques. **Compound A is use as stn oxidising agent is amphoteric in nature. It is the part of load storage battery. Compound A is**Ans. **PbO2

**Ques. **Orbital having 2 radial and 2 angular nodes.**Ans.** 5d

**Ques.** In YDSE two slits are d = 2mm, D = 1m, α = 500m, β = ?**Ans.** 0.25mm

**Ques. **An attenating current is given by equation: i2i1sinwt + i2coswt. The rms current win are –

**Ques. **Which lanthonoid do not form MnO2?**Ans. **Yd

**Ques. **Hall and Heroult’s process is used for**Ans. **Extraction for Al

**Ques. **Structure of Neoprene

**Ques. **Find the sum of the series: (^{30}C_{0}) x 30 + (^{30}C_{1}) x 29 + …….. + ^{30}C_{29} x 1

**Ques. **Possible integral value of K if 3sinx + 4cosx = k+1**Ans. **6

### JEE Main 2021 Question Paper of Exam Held on 25 February Shift 2

**Ques.** What will be the product form ethylene glycol with oxalic acid?

**Ques. **Which molecule does not has same bond length?**Ans.** SF4

**Ques. Statement 1:** Rotational motion of diamolecular follows Maxwell distribution**Statement 2:** There are equal components of rotational and translational of diamolecular molecules

**Ques. **Which of the following is used in light emitting diode?

**Ques.** Purification method of Indium is ______**Ans.** Zone-refining

**Ques. **Which is the flux passing the shaded region?**Ans. **9/24ε_{0}

**Ques. **Structure of a-Maltose

**Ques. **Which of the following is Psuedo Alum?**Ans.** MnSO4.Al2(SO4)3.24H20

**Ques.** What is the composition of German Silver?**Ans.** 50% Cu, 19%Zn, 30%Ni

**Ques. **1kg of water at 0 degrees Celsius is heated to 100 degrees Celsius. Calculate the charge in entropy. **Ans.** 1.31 x 10^{3} J/K

**Ques.**

**Ques. **

**Ques.** 0<x, y<π, cos x + cos y – cos (x+y) = 3/2, find sin x+cos y**Ans.** **√**3+1/2

**Ques.** Which of the following statements are true?

Statement 1: The PH of rain water is approx 5.6.

Statement 2: If the PH of water is less than 5.6, then it is called acid rain.**Ans. **Both the statements are correct.

**Ques.** What is the stricture of maltose?**Ans.**

**Ques.** Solubility product of Ca(OH)_{2} is 5.5 X 10^{-6} . Calculate the solubility.**Ans. **

**Ques.** The correct order of band disassociation of halogen:**Ans. **Cl_{2}>Br_{2}>F2>I_{2}

**Ques.** Which of the following is pseudo anion?**Ans.** MnSO_{4}Al_{2}(SO_{4})_{3}.24H_{2}O

**Ques. **

**Ans. **N-ethyl-N-methyl formamide

**Ques. **An element having z=29, then calculate the magnetic moment in aqueous medium.**Ans.** 1.73 BM

**Ques.** How many can be used as photo electrode – Li, Na, Rb, Cs?**Ans.** 3

**Ques.** For a reaction value of rate constant becomes 5 times when the temperature is increased from 27^{o}c to 52^{o}c. Find the activation energy?**Ans.** 52 KJ

**Ques.** A unit cell of a copper lattice of edge length 3.596 A^{o} of face-centered lattice. Find the density of the unit cell in kg/m^{3}.**Ans. **9

**Ques.** Which of the following is false about the hydrophilic cells?

- These cannot be coagulated easily
- These are reversible in nature
- They have viscosity like water
- They need electrolyte for stability.

**Ans.** 1

**Ques.** Which compound is added for the detection of halogen before adding AgNO_{3 } ?**Ans.** HNO_{3}

**Ques.** When x is divided by 4 leaves a reminder of 3 then (2022+x)^{2022} is divided by 8, the reminder is?**Ans.** 1

**Ques. **

**Ques.** Contrapositive of “If you want money then you have to do work.”**Ans.** If you are not working then you will not get money.

**Ques. **There is a group of 400 people of which 160 are smokers and non vegetarians, 100 are smokers and vegetarians, and rest 140 are non smokers vegetarians. It was found that in a survey of chest disorder, there are 35%, 20% ad 10% respectively. A random guy is chosen and is found that he has chest disorder. Find the probability that he is a smoker and non vegetarian.**Ans.** 28/45

**Ques. **

**Ans. **2

**Ques.** The sum of the length of the perpendicular drawn from focii to any real tangent to the hyperbola x^{2}/16-y^{2}/9 is always greater hence find the value of a.**Ans.** 6

**Ques.** If x^{2}+2y^{2}=1 and x+y=1 intersect and the line joining them subtends an angle at the origin, then find the angle.**Ans.** tan^{-1}2

**Ques. **

**Ques.** If z^{2}+αz+β has one root 1-2i, then find the value of α-β, (α, β ∈ R)**Ans.** -7

**Ques.**

**Ans. **39/2

**Ques. **If the equation of ellipse x2/25+y2/16=1 then find the equation of hyperbola such that product of the eccentircities of both curves equal to 1 and the axes of ellipse are coinciding with hyperbola and also the hyperbola passes through the focii of ellipse.

**Ques. **

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**Ques. **Find the ratio of de-broglie wavelength of electron as proton, if they have same velocity. M_{p}=1836 me.**Ans. **1836:1

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**Ques: **2 masses are in the ratio 4:16 and linear momentum in ration n:2, find the value of nm if they have the same kinetic energy.**Ans.** n=1

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**Ques.** A stone is dropped from the top of the tower. When it crosses a point 5 m below the top, another stone is let fall from a point 25 m below the top. Both stones reach the bottom of the tower simultaneously. Find the height if the tower. Take g=10 m/s^{2} **Ans.** 45

### JEE Main 2021 Question Paper of Exam Held on 25 February Shift 1

Questions asked in JEE Main 2021 day 3, shift 1 are as follows.

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**Qs. ** For a polytropic process whose equation is given by pV^n = constant, x ≠ 0, 1, or γ, which of the options is true?

a) Molar heat capcity C = Cv + R (1-x)

b) Work done by gas when T changes from T1 to T2 is w = nR (T2 – T2) / (1-x)

c) Bulk modulus B = xP

d) All of the above?

**Qs. **Which of the linkage in glucose and galactose is present in lactose?

a) Peptide

b) Glycosidic

c) Both

d) None

**Qs. **Circular coil of wire consisting of 100 turns each of radius 8 cm, carries a current of 0.4 A. What is the magnitude of the magnetic field at the center of the coil?

**Qs. **A charged solid conductor has a cavity with charge +q in center. What is the charge Q induced on the outer surface?

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### JEE Main 2021 Question Paper of Exam Held on 24 February Shift 2

Questions asked in JEE Main 2021 day 2, shift 2 are as follows.

**MATHEMATICS**

**Qs. ** The number of natural numbers less than 7000 which can be formed by using the digit 0, 1, 3, 7, 9 (repition of digits is allowed) is equal to?

**Qs. **

**Qs. ** Point on y = x^{2} – 4 closest from y = 4x-4

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**Qs. **If angle of elevation for a helicopter from a point A is 60°. After 20s within the speed of 432 km/h, the plane moves and angle of elevation becomes 30°. Find the height of helicopter if the height was constant all the time.

**Qs. **((~p ∧ (p → q)) → q

**Qs. **

**Qs. **If variance of ten numbers 1, 1, 1, 1, 1, 1, 1, 1, 1, k, where k∈N, is less than or equal to 10, then maximum value of k is?

**Qs. **In how many ways 10 students are divided into 3 groups such that each group has one member and third group has at most 3 members?

**Qs. **Solve

**Qs. **

**Qs. **Find the area enclosed by the parabolas y = 5x^{2} and y = 2x^{2} +9

**PHYSICS**

**Qs. **Statement-I: Transistor can be simply made by joining two diodes back to back and they act as base.

Statement-II: β = i_{c} / i_{b}

**Qs. **In Young’s double slit experiment, what will happen when red light is replaced by violet light?

Find frequency

**Qs. **What will be the weight of a body of 49kg on equator?

**Qs. **A particle is projected along x axis with velocity v. A force is acting on it in opposite direction which is proportional to square of its position. At what distance will the particle stop?

**Qs. **Which transition in Hydrogen has max frequency?

**Qs. **T = 1.95s, l=1m, LC = 0.1 s, LC of length equipment = 1mm. Find percentage error in g.

**Qs. **What will be the graph of velocity in SHM?

**Qs. **Where will the centroid of the sphere shift when a cavity of radium r/2 is cut from it?

**Qs. **Two mass M1 and M2 1 kg and 2 kg have some linear momentum. Find KE_{1} / KE_{2}.

**Qs. **A hexagon has 6 rods. What is the moment of inertia about the center?

**Qs. **v_{rms} = 200 m/s. P_{1}= 1 atm. T_{1 }= 27° C

v_{rms2} = ?. P_{2}= 2 atm. T_{2 }= 127° C

**Qs. **

What is current i at t=0 when switch is just closed? R=2Ω

**Qs. **A charge is put outside a closed square. Find the next flux through the square?

**Qs. **The debroglie wavelength of proton and α particles are equal. The ratio of their velocities are?

**Qs. **Two carts are moving towards eachother with speed 7.2 kmph. Each blows horn at 676 Hz. Velocity of air is 340. What is the beat heard by each?

**Qs. **What happens in domain of ferromagnetic material if placed in external magnetic field?

**CHEMISTRY**

**Qs. **In contact process – impurities of arsenic are removed by?

**Qs. **The tendency to form complex is maximum in – Normal element ? Transition element? Inner transition element? Elements having fully filled d orbitals?

**Qs. **A. BOD value determines and affects aquatic life.

B. The optimum value is 6.5 ppm. >> Which is correct and which is false?

**Qs. **Most suitable salt which can be used for efficient clotting is

(A) FeSO_{4}

(B) Mg(HCO_{3})_{2}

(C) NaHCO_{3}

(D) FeCl_{3}

**Qs. **The shape and bond angle in I_{3}^{–}

**Qs. **Match column I with column II

Column I – Column II

Valium …………. (A) Antifertility Drug

Morphine…………. (B) Megaloblastic Anemia

Norethindone…………. (C) Analgesic

Vitamin B12…………. (D) Tranquilizer

Arrange them in increasing order of nucleophilic substitution.

**Qs. **Which of the following is non aromatic?

**Qs. **Match the following

Fe – Sidenite

Al-Calamite

Cu- Kaolinite

Zn – Malachite

**Qs. **Reagents that would be needed to convert nitrobenzene into 1,3 dibromobenzene?

**Qs. **

What reagent is needed for this conversion?

**Qs. **S in Buna-S stands for?

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**Qs. **NO2 forms dimer but ClO2 does not. Why?

**Qs. **Statement 1: Hydrogen is most abundant in universe but not in earth troposphere.

Statement 2: Hydrogen is lightest element

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**Qs. **If a compound CxHy required 6 times volume of O2 then its self and produced 4 times volume of CO2 then find y.

**Qs. **Which cannot be formed by Gabriel Phthalamide Synthesis?

### JEE Main 2021 Question Paper of Exam Held on 24 February Shift 1

Questions asked in JEE Main 2021 day 2, shift 1 are as follows.

**CHEMISTRY**

**Qs. **What is the bond angle of H_{2}O?

**Qs. **Substance is given with molar mass 90 g per mole. The weight given is 4.5 g. Volume of solution is 250 ml. Find molarity.

**Qs. **Rate of diffusion does not depend on?

**Qs. **Which of the following oxides of nitrogen converts to another oxide on heating?

**Qs. **

Find the product.

**Qs. **Cu, Zn, Cr, Co – Which has +ve reduction potential values for M^{2+} _{(aq)} / M _{(s)}

**Qs. **Find the time period of reaction for 40% completion of reaction. Rate constant is 25 x 10^{-4} s^{-1}.

**Qs. **

**Qs. **Helical structure of DNA / protein is formed by which bond?

**Qs. **What is the non-existence of PbI4 due to?

**Qs. **An ore of tin containing Fe Cr O4 is concentrated by?

**Qs. **Compare the first ionization energy of Mg, Al, Si, P, S.

**Qs. **Which of the following ore is concentrated using group 1 cyanide?

**Qs. **Why nitration of aniline gives 47% meta product?

**Qs. **Monomer of Buna-S and Nylon -6

**Qs. **Anaerobic respiration causes?

**Qs. **What is the composition of gun metal?

**Qs. **What is the coordination number of atoms in BCC?

**MATHEMATICS**

**Qs. **There are total 6 Indians and 8 foreigners. A committee is to be formed by having at least 2 Indians and the number of foreigners are twice Indians. Number of ways are?

**Qs. **The population p(t) at time t of a certain mouse species satisfies the differential equation dp (t) / dt = 0.5 p(t) – 450. If p (0) = 850, then the time at which the population becomes zero is?

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**Qs. **The area (in sq units) of the part of the circle x^{2} + y^{2} = 36 which lies outside the parabola y^{2} = 9x is?

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**Qs. **If Z + α|Z-1| + 2i = 0, then find the sum of maximum and minimum values of α, (α ∈ R)

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**Qs. **The distance of the point (1, 1, 9) from the point of intersection of the line (x-3) / 1 = (y-4) / 2 = (z-5)/ 2 and plane x +y + z = 1 is?

**Qs. **There are total 6 Indians and 8 foreigners. A committee is to be formed by having at least 2 Indians and the number of foreigners are twice Indians. Number of ways are?

**Qs. **There are two poles and one is three times the other and they are 150 m apart and a man from the mid-point found elevation angles complementary. Find the height of the small pole.

**Qs. **If p + q = 2, and p^{4} + q^{4} = 272 where p and q are the roots of a quadratic equation then find the quadratic equation.

**Qs. **a_{1}, a_{2}, … a_{10} are in GP. a_{7 }/ a_{5} = 25. Find a_{10} / a_{8}.

**Qs. **Which of the following is tautology?

**Qs. **Diameter of x^{2} + y^{2} – 2x – 6y + 6 = 0 is chord of circle with center (2,1)

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**Qs. **Find the common tangent to the curve y^{2} = 2x – 3 and x^{2} = 4y lies parallel to the line. (Full question coming soon)

**Qs. **A die is rolled n times. If the probability of getting odd number 2 times is equal to the probability of getting even number 3 times. Find the probability of getting off number odd times.

**Qs. **

**Qs. **Find the solution of the differential equation: xdy – ydx = √ (x^{2} + y^{2}) dx

**Qs. **A man is walking on a straight line whose arithmetic mean of reciprocal intercepts on axes is 1/4. There are 3 marbles at A (1, 2), B (2, 2), C (4, 4). Then which marble lies in his path?

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**PHYSICS**

**Qs. **How does the energy of photon change as the corresponding wavelength increases?

**Qs. **Find the minimum force F_{0} that should be applied to the block of mass m = 0.5 kg so that the block stays in equilibrium with the rough vertical wall having friction coefficient μ = 0.2 (take g = 10 m/s^{2}).

**Qs. **A horizontal spring block system (mass m_{2} spring constant k) is oscillating on a smooth surface with amplitude A. If at mean position an identical block is kept on it so that they move together after what is the new amplitude?

**Qs. **In the shown circuit the following battery is of EMF 4 and internal resistance 8 Ω. Find the potential difference between points x and y shown in the circuit.

**Qs. **Compare the magnitudes of moment of inertia of (masses and radii are equal)

(a) Ring about diameter I_{a}

(b) Ring about diameter I_{b}

(c) Ring about diameter I_{c}

(d) Ring about diameter I_{d}

**Qs. **Two equal capacitors are as shown in the figures. What will be the ratio of the equivalent capacitance?

**Qs. **Find field at center of cube of side a

**Qs. **What is the sign of focal length for a convex mirror?

**Qs. **

**Qs. **Find w in a double star system.

**MATHEMATICS AND CHEMISTRY**

**Qs. **The tangent to the curve x = a (0 – sinθ), y = a(1+cosθ) at the point θ = (2k+1)x, k ∊ I are parallel to

**Qs. **If the imaginary part of expression z-1 / e^{iθ} + e^{iθ} / z-1 is zero, the locus of z is

**Qs. **What is the composition of gun metal?

**Qs. **Compare the Ionisation Energy of SC, RI, V, Cr, Mn…

**Qs. **Block m has amplitude A. If another mass of m is added what will be the new amplitude?

**Qs. **The non-existence of PbI4 is due to ________

**Qs. **A cube is given and it has -q charge in one corner and +q charges in all the remaining 7 corners. Find the electric field inside the cube.

**Qs. **An ore of Tin containing FeCrO_{4} is concentrated by _____

**Qs. **The ratio of effusion does not depend on _____

**Qs. **The equations of AM and EC are given, then find the percent of modulation.

**Qs. **The solution of differential equation xdy – ydx = √x^{2} + y^{2} dx is

**Qs. **Find the work done by the cylcin process.

**Qs. **Two capacitors are given. Find the series and parallel resistant and their ratio.

**Qs. **If a dice is rolled n times. If the probability of getting even number and odd number is equal then find n.

**Qs. **What will be the energy if you increase lambda

**Qs. **An astronaut has left the international space station to test a new space scooter. His partner measures the fall velocity changes which take place in 10s interval. Find the magnitude and direction of average acceleration at the beginning of 10 sec interval, the astronaut is moving towards the x-axis in 10m/sec and at the end is 10 sec. He is moving towards the -ve axis at 5m/sec.

**Qs. **If there is degradation of vegetation, then what effect is caused in the environment from gas released?

**Qs. **A P and V graph was given, find the work done.

**Qs. **Calculate ionization energy of third period elements.

### JEE Main 2021 Question Paper of Exam Held on 23 February Shift 1 – Paper 2B (B.Planning)

Questions asked in JEE Main 2021 day 1, shift 2 were as follows.

**Qs. **If α + iβ is one of the roots of the equation x2 + qx +r =0. Then, 2α is one of its roots of which equation?

**Qs. **What will be the area bounded by the curves y=rootx , 2y + 3 = x and the x-axis in the 1st quadrant?

**Qs. **If B and C are square matrix of order n, and if A+B+C, BC=CB, C2 = 0. Then for any positive integer P, A^ P+1 = B^K * [B+(P+1) C]. What is K?

**Qs. **If a circle passes through the point (a, b) and cuts the circle x^{2} + y^{2} = k^{2} orthogonally, then what is equation of the center?

**Qs. **The point on the curve y^{2} + 3x = 12y, when the tangent is vertical, is / are?

**Qs. **If f: (1, ∞) → (2, ∞) is given by f(n) = n + 1/n then f ^ -1 (n) equals?

**Qs. **If 0< P(A) < 1, 0< P(B) < 1 and P (A⋃B) = P (A) + P(B) – P(A) P(B), then select the appropriate answer.

**Qs. **If z1 and z2 are two non zero complex numbers such that |z1 + z2| = |z1| + |z2|, then arg z1 – arg z2 =?

### JEE Main 2021 Question Paper of Exam Held on 23 February Shift 1 – Paper 2A (B.Arch)

Questions asked in JEE Main 2021 day 1, shift 1 were as follows.

**Qs. **Name the designers of the World Trade Center.

**Qs. ** What is the order of the differential equation representing the family of curves y^{2}= 2c + x^{2021}

**Qs. ** The locus of the midpoint of a chord of the circle x2+y2=4×2+y2=4 which subtends a right angle at the origins is?

**Qs. ** Evaluate ∫ (elog x + sin x) cos x dx.

**Qs. **If Z_{1 }and Z_{2 }is a unimodular complex number. And Z_{12}+Z_{22}=4. Then what is (Z_{1}+Z_{1})^{2}+ (Z_{2}+Z_{2})^{2} equal to?

**Qs. **Find the equations of the normal to the curve x2 = 4y which passes through the point (1,2).

**Qs. **If x = cy + bz, y = az + cx, z = bx + ay, where x, y, z are not all zero, then a^{2} + b^{2} + c^{2 }+ 2ab = ?

**Qs. **What is the minimum number of times a fair coin needs to be tossed, so that the probability of getting at least two heads is at least 0.96?

**Qs. **If x >1, y > 1, z > 1 are in GP, then 1/(1 + lnx), 1/(1 + lny),1/(1 + lnz) are in?

**Qs. **If A+B+C = 180 degrees. Then, find tanA + tanb + tanC =?

**Qs. **What are the number of divisors of the form (4n + 2), of the integer 240

**Qs. **Find the area of the triangle formed by z, iz and z+iz.

### Importance of JEE Main 2021 Question Paper with Solution

Answer keys and question paper give only the direct answer to a question. On the other hand, if a candidate has JEE Main 2021 question paper with the solution they can understand how a question is solved. The solution of a question gives the step-wise explanation and clears any doubt regarding a question.

NTA never releases the solutions to the questions that they ask in the exam. They just provide the answer keys. The solutions provided here are solutions to the memory-based questions. Students can use them to understand how to solve a question, the stepwise method to solve the question, and how to get to the correct answer to a question. These solutions are provided by the JEE Main experts.

### JEE Main 2021 Question Paper Pattern

The question paper pattern of JEE Main 2021 exam is given below:

**Type of questions **– There are two type of questions – first is MCQ and then the other is numerical value type (NVTs).

**Mode of the exam **– The exam is conducted in online mode i.e it is a computer-based test (CBT).

**Medium of question paper **– English, Hindi, Urdu, Assamese, Bengali, Gujarati, Kannada, Marathi, Malayalam, Odia, Punjabi, Tamil and Telugu

**Marks distribution is as follows for paper 1, 2a, and 2b:**

- JEE Main 2021 Paper 1 (B.E / B.Tech) Exam Pattern

Subjects | Section A (MCQ) | Section B (NVTs) | Marks |
---|---|---|---|

Mathematics | 20 | 10 – Answer any 5 | 100 |

Physics | 20 | 10 – Answer any 5 | 100 |

Chemistry | 20 | 10 – Answer any 5 | 100 |

Total | 60 | 30 – Answer any 15 | 300 |

- JEE Main 2021 Paper 2A (B.Arch) Exam Pattern

Subjects | No. of questions (MCQ) | No. of questions (NVT) | Marks |
---|---|---|---|

Mathematics | 20 | 10 – Answer any 5 | 100 |

Aptitude Test | 50 | – | 200 |

Drawing Test | 02 | – | 100 |

Total | 72 | 10 – Answer any 5 | 400 |

- JEE Main 2021 Paper 2B (B.Planning) Exam Pattern

Subject | No. of questions (MCQs) | No. of questions (NVTs) | Marks |
---|---|---|---|

Mathematics | 20 | 10 – Answer any 5 | 100 |

Aptitude Test | 50 | – | 200 |

Planning Based Questions | 25 | – | 100 |

Total | 95 | 10 – Answer any 5 | 400 |

### How to Use JEE Main 2021 Question Paper and Solutions?

Once the candidates have the question papers and their JEE Main 2021 responses with them, they need to follow the steps below:

- Identify the question and the solution that you have attempted in the exam.
- Understand the steps used to reach the answer.
- If the answer matches the answers you have marked in the exam then, add +4 mark
- For an incorrect answer, you will need to deduct 01 marks.
- In case of questions left unanswered / marked for review, no marks are given.
- There is
**no negative marking for numerical value type (NVTs)**, thus no need to deduct any marks.

**Formula to calculate JEE Main total score**: (4 X no. of correct answers) – (1 x incorrect answer)

### How to Download JEE Main 2021 Question Paper?

NTA releases official question paper of JEE Main 2021 for all shifts and days after the exams are over. To download the official question papers candidates can use the steps below:

**Step 1: **Visit the official website jeemain.nta.nic.in to download NTA JEE Main Question Paper. Clcik on the link on the home page for question papers.

**Step 2: **In the next screen, you need to log in using application number, password / date of birth. Check the image below for reference.

**Step 3: **Click on the ‘sign-in’ button to submit JEE Main login details. After this, your dashboard will appear on the screen.

**Step 4: **On the dashboard, click on the relevant link for downloading the JEE Main 2021 Question Paper.

**Step 5: **After this, the question paper of your respective shift and exam date will appear on the screen. You can download the JEE Main 2021 Question Paper pdf which can be used for preparation for the upcoming attempts.

### Details in JEE Main 2021 Question Paper

The candidates can see the below given details in the JEE Main 2021 question paper:

- Question paper name
- Subject name
- Duration of the exam
- Total marks
- Section name and ID
- Questions and their 4 options

*Check the sample of JEE Main question paper below:*

### JEE Main 2021 Answer Key

On the day of the examination, various coaching institutes releases memory based questions and answer key for JEE Main exam. It is released as pdf and is prepared on the basis of questions informed by the candidates to the coaching institutes.

NTA releases official answer key of JEE Main 2021 on the official website. Candidates can download it for their question paper and session from the login by entering application number and date of birth / password.

- The candidates have to pay
**Rs 200 (per question)**to submit the challenge. To pay the fee candidates can use**debit card / credit card / net banking**.

NTA checks all the representations send against the answer key. The valid representations are considered and as per it, changes are made in the final answer key. The result of the exam is calculated on the basis of final answer key of JEE Main. It is released after the announcement of the result.

### JEE Main 2021 Result

The result of JEE Main 2021 is only released online, on jeemain.nta.nic.in. There are two major components of JEE Main result, which are:

- JEE Main 2021 scorecard
- JEE Main 2021 All India Rank

The JEE Main scorecard is released separately for all attempts of the exam. It is released for individual candidates, at the login. It contains details of the candidate with NTA score and cut off. The rank of JEE Main is announced after all the attempt for the exam is over. It is prepared on the basis of the best NTA score out both the attempts. However, candidates who appear for only 1 exam of JEE get AIR on the basis of NTA score for that attempt only.

### About JEE Main 2021

Joint Entrance Examination Main (JEE Main) 2021 is organised by National Testing Agency (NTA) 4 times. First in the month of February, then on March, April and May. The national level entrance exam is conducted for admission undergraduate Engineering and architecture courses in 31 NITs, 23 IIITs, and other colleges. It also serves as a prelim selection for JEE Advanced. Since the year 2019, the newly created organisation NTA was handed over the responsibility for conducting the engineering national level exam.

## JEE Main 2021 Question Paper FAQs

**When can I get the copy of the question paper for which I have appeared in JEE Main?**

A few days after the exam is over NTA releases the question papers officially on jeemain.nta.nic.in.

**What is the mode of JEE Main?**

JEE Main 2021 is a computer based test.

**What is the marking scheme of the exam?**

Candidates get 4 marks for each correct answer and for each wrong MCQ 1 marks is deducted. There is no negative marking for the numerical type answers.

**From where can I download the JEE Main question paper PDF?**

You can download it from this page, or from the official website jeemain.nta.nic.in.