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### JEE Main 2021 Answer Key by Resonance Released - Download Paper 1 (Shift 1 & 2) Solutions

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

Shift – 1

Shift – 2

Physics

Chemistry

Mathematics

Overall Analysis

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### Memory Based Answer Key (Paper 2A)

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…?

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

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

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

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

Q.6: The DE representing the family of curve Y2 (2c+x2021) where c is the positive parameter is of?

Q.7: If zand zunimodular complex number that satisfy z12 + z22 = 4 then (z1 + z1)(z2 + z2)is equal to?

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?

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

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?

Q.11: The point on the curve Y2 + 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]

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

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

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.