JEE Main questions
34495 published questions with worked solutions.
- In the Claisen-Schmidt reaction to prepare, dibenzalacetone from 5.3 g benzaldehyde, a total of 3.51 g of product was obtained....
- Total number of non bonded electrons present in NO_2^- ion based on Lewis theory is _____.
- If _ x 0 (2x) + a (4x) - b x^4 is finite, then (a + b) is equal to :
- If _ r=0 ^ 10 ( 10^ r+1 -1 10^r ) ^ 11 C_ r+1 = ^ 11 -11^ 11 10^ 10 , then is equal to :
- Let (a, b) be the point of intersection of the curve x^2 = 2y and the straight line y - 2x - 6 = 0 in the second quadrant. Then...
- If [- 7 6 , 4 3 ], then the number of solutions of 3 ^2 - 2( 3 -1) - 4 = 0, is equal to :Not in JEE Main syllabus
- If the mean and the variance of 6, 4, a, 8, b, 12, 10, 13 are 9 and 9.25 respectively, then a + b + ab is equal to :
- If the domain of the function f(x) = 1 10+3x-x^2 + 1 x+|x| is (a, b), then (1+a)^2 + b^2 is equal to :
- Given three indentical bags each containing 10 balls, whose colours are as follows : Bag I: Red 3, Blue 2, Green 5 Bag II: Red 4,...
- The line L_1 is parallel to the vector a = -3 i + 2 j + 4 k and passes through the point (7, 6, 2) and the line L_2 is parallel...
- Let f : [1, ) [2, ) be a differentiable function. If 10 _1^x f(t) ,dt = 5xf(x) - x^5 - 9 for all x 1, then the value of f(3) is :
- Let A = 1, 2, 3,...., 100 and R be a relation on A such that R = (a, b): a = 2b + 1 . Let (a_1, a_2), (a_2, a_3), (a_3, a_4), ,...
- Let the point P of the focal chord PQ of the parabola y^2 = 16x be (1, –4). If the focus of the parabola divides the chord PQ in...
- If the length of the minor axis of an ellipse is equal to one fourth of the distance between the foci, then the eccentricity of...
- Let a = 2 i - 3 j + k , b = 3 i + 2 j + 5 k and a vector c be such that ( a - c ) b = -18 i - 3 j + 12 k and a c = 3. If b c = d...
- 4 _0^1 ( 1 3+x^2 + 1+x^2 )dx - 3 _e( 3 ) is equal to :
- The number of terms of an A.P. is even, the sum of all the odd terms is 24, the sum of all the even terms is 30 and the last term...
- If the system of equations 2x + λy + 3z = 5 3x + 2y – z = 7 4x + 5y + μz = 9 has infinitely many solutions, then ( ^2 + ^2) is...
- Let A be a 3 × 3 real matrix such that A^2(A - 2I) - 4(A - I) = 0, where I and O are the identity and null matrices,...
- If the sum of the first 10 terms of the series 4.1 1+4.1^4 + 4.2 1+4.2^4 + 4.3 1+4.3^4 + is m n , where gcd(m, n), then m + n is...