JEE Main questions
34495 published questions with worked solutions.
- Electrolysis of 600 mL aqueous solution of NaCl for 5 min changes the pH of the solution to 12. The current in Amperes used for...
- A group 15 element forms dπ–dπ bond with transition metals. It also forms hydride, which is a strongest base among the hydrides...
- Total number of molecules/species from following which will be paramagnetic is ______. O_2, O_2^+, O_2^-, NO, NO_2, CO,...
- Let the line x + y = 1 meet the circle x^2 + y^2 = 4 at the points A and B. If the line perpendicular to AB and passing through...
- Let M and m respectively be the maximum and the minimum values of f(x) = vmatrix 1+ ^2 x & ^2 x & 4 4x ^2 x & 1+ ^2 x & 4 4x ^2 x...
- Let ABC be a triangle formed by the lines 7x – 6y + 3 = 0, x + 2y –31 = 0 and 9x –2y–19 = 0, Let the point (h,k) be the image of...
- Let a = 2 i - j + 3 k , b = 3 i - 5 j + k and c be a vector such that a c = c b and ( a + c ).( b + c ) = 168. Then the maximum...
- Let P be the set of seven digit numbers with sum of their digits equal to 11. If the numbers in P are formed by using the digits...
- Let the area of the region (x, y) : 2y x^2 + 3, y + |x| 3, y |x - 1| be A. Then 6A is equal to :
- The least value of n for which the number of integral terms in the Binomial expansion of ( [3] 7 + [12] 11 )^n is 183, is :
- The number of solutions of the equation ( 9 x - 9 x + 2 ) ( 2 x - 7 x + 3 ) = 0 is :
- Let y = y(x) be the solution of the differential equation x( _e( x))^2 dy + ( x - 3y x _e( x))dx = 0, x (0, 2 ). If y ( 4 ) = -1...
- Define a relation R on the interval [0, 2 ) by x R y if and only if ^2x - ^2y = 1. Then R is :
- Let the ellipse, E_1 : x^2 a^2 + y^2 b^2 = 1, a > b and E_2 : x^2 A^2 + y^2 B^2 = 1, A < B have same eccentricity 1 3 . Let the...
- Consider an A.P. of positive integers, whose sum of the first three terms is 54 and the sum of the first twenty terms lies...
- Let a = i + 2 j + k and b = 2 i + 7 j + 3 k . Let L_1 : r = (- i + 2 j + k ) + a , R and L_2 : r = ( j + k ) + b , R be two...
- The value of _ n ( _ k=1 ^ n k^3+6k^2+11k+5 (k+3)! ) is :
- Let L_1 : x-1 1 = y-2 -1 = z-1 2 and L_2 : x+1 -1 = y-2 2 = z 1 be two lines. Let L_3 be a line passing through the point ( , , )...
- Let x_1, x_2,......x_ 10 be ten observations such that _ i=1 ^ 10 (x_i-2)=30, _ i=1 ^ 10 (x_i- )^2=98, > 2 and their variance is...
- Let A = [a_ ij ] = bmatrix _5 128 & _4 5 _5 8 & _4 25 bmatrix . If A_ ij is the co-factor of a_ ij , C_ ij = _ k=1 ^ 2 a_ ik A_...