JEE Main 2021 Official Answer Key has been released on 1st March 2021. It is released separately for four session in – February, March, April, May sessions. JEE Main is conducted for providing admission into UG engineering/ architecture courses (B.Tech/ B.Arch). These courses are offered by the NITs, IITS & IIITs and other government and non-government engineering institutions. JEE Main exam is organized by the National Testing Agency (NTA).

Subjects |
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Physics |
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Chemistry |
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Mathematics |
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Overall Analysis |
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**Q. 1:** The minimum number of times a fair coin need to be tossed so that probability of getting at least two head is at least 0.96 is…?

**Answer: **8

**Q.2:** Find the equation of normal to the curve x² = 4y which passes through the point (1,2)?

**Answer:** x+y=3

**Q.3:** If A+B+C=180° then find tanA+tanB+tanC=?

**Answer:** tanA tanB tanC

**Q.4:** Who was the designer of World Trade Center?

**Answer:** Minoru Yamasaki, Emery Roth

**Q.5:** Area of triangle formed by the complex number z, iz and z+iz is?

**Answer:** 1/2ΙzΙ²

**Q.6:** The DE representing the family of curve Y^{2 }(2c+x^{2021}) where c is the positive parameter is of?

**Answer:** Order 1

**Q.7:** If z_{1 }and z_{2 }unimodular complex number that satisfy z_{1}^{2} + z_{2}^{2 }= 4 then (z_{1}_{ + }z_{1})^{2 }(z_{2} _{+ }z_{2})^{2 }is equal to?

**Answer:** 12

**Q.8:** Given x=cy+bx, y=az+cx, z=bx+ay, where x, y and z are not all zero then a² + b² + c² = 2ab is equal to?

**Answer: **1

**Q.9:** Number of divisors of the form (4n+2), of the integer 240 is?

**Answer:** 20

**Q.10:** The locus of the midpoint of the chord of the circle x²+y=4 which substance a right angle at the origin is?

**Answer:** x²+y²=2

**Q.11:** The point on the curve Y^{2 }+ 3x= 12y, when the tangent is vertical, is (are)?

**Q.12:** If B and C are square matrix of order n, and if A=B+C and BC=CB and C²=0, then for any positive integer P, AP+1=Bk[B+(P+1)C]

**Answer:** P

**Q.13:** The area bounded by the curve y=√x. 2y+3 =x, and x-axis in the first quadrant is?

**Answer:** 9 sq units

**Q.14:** If f:(1,∞)–> (2,∞) is given by f(n)=n+1, the f-1(n) equals to?

**Answer:** x+√x2-4/2

**Q.15:** 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.

**Answer:** P(A/B) = P(A)

**Q.16:** If x > 1, y > 1, z > 1 are in GP, then 1 /1+lnx, 1 /1+lny, 1 /1+lnz are in _______

**Answer:** HP

**Q.17:** If z_{1} and z_{2} are two non-zero complex number such that |z_{1} + z_{2}| = |z_{1}| + |z_{2}|, then argz_{1} – argz_{2} is equal to?

**Answer:** 0