JEE Main questions
34495 published questions with worked solutions.
- "X" is an oxoanion of the lightest element of group 7 (in the periodic table). The metal is in +6 oxidation state in "X". The...
- Molar conductivity of a weak acid HQ of concentration 0.18 M was found to be 1/30 of the molar conductivity of another weak acid...
- Grignard reagent RMgBr(P) reacts with water and forms a gas (Q). One gram of Q occupies 1.4 dm³ at STP. (P) on reaction with dry...
- If g(x) = 3x^2 + 2x - 3, f(0) = -3 and 4g(f(x)) = 3x^2 - 32x + 72, then f(g(2)) is equal to:
- Let y = x be the equation of a chord of the circle C_1 (in the closed half-plane x 0) of diameter 10 passing through the origin....
- If (A-B) A + ^2 C ^2 A = 1, A, B, C (0, 2 ), then
- Let z be a complex number such that |z-6| = 5 and |z+2-6i| = 5. Then the value of z^3 + 3z^2 - 15z + 141 is equal to
- Let S = 1,2,3,4,5,6,7,8,9 . Let x be the number of 9-digit numbers formed using the digits of the set S such that only one digit...
- Let S = x^3+ax^2+bx+c : a,b,c N and a,b,c 20 be a set of polynomials. Then the number of polynomials in S, which are divisible by...
- A bag contains 10 balls out of which k are red and (10-k) are black, where 0 k 10. If three balls are drawn at random without...
- If , , where < , are the roots of the equation x^2 - ( +3)x + 3 = 0 such that 1 - 1 = 1 3 , then the sum of all possible values...
- If ( 1-5 ^2 x ^5 x ^2 x )dx = f(x) + C where C is the constant of integration, then f ( 6 ) - f ( 4 ) is equal to
- Let f be a polynomial function such that f(x^2+1) = x^4+5x^2+2, for all x R. Then _0^3 f(x)dx is equal to
- The area of the region R = (x,y): xy 8, 1 y x^2, x 0 is
- The value of _ x 0 _e ( (ex) (e^2x) (e^ 10 x) ) e^2 - e^ 2 x is equal to
- The mean and variance of 10 observations are 9 and 34.2, respectively. If 8 of these observations are 2,3,5,10,11,13,15,21, then...
- Let A,B and C be three 2 2 matrices with real entries such that B = (I+A)^ -1 and A+C = I. If BC = bmatrix 1 & -5 -1 & 2 bmatrix...
- The common difference of the A.P.: a_1,a_2, ,a_m is 13 more than the common difference of the A.P.: b_1,b_2, ,b_n. If b_ 31 =...
- If the distances of the point (1,2,a) from the line x-1 1 = y 2 = z-1 1 along the lines L_1: x-1 3 = y-2 4 = z-a b and L_2: x-1 1...
- For three unit vectors a , b , c satisfying | a - b |^2+| b - c |^2+| c - a |^2 = 9 and |2 a +k b +k c | = 3, the positive value...