JEE Main questions
34495 published questions with worked solutions.
- If the matrices A = bmatrix 1 & 1 & 2 1 & 3 & 4 1 & -1 & 3 bmatrix , B = adj A and C = 3A, then | adj B| |C| is equal to :
- If f(x)= cases (a+2)x+ x x & ; x<0 b & ; x=0 (x+3x^2)^ 1/3 -x^ 1/3 x^ 4/3 & ; x>0 cases is continuous at x = 0, then a + 2b is...
- The value of _0^ 2 x ^8 x ^8 x+ ^8 x dx is equal to
- The integral dx (x+4)^ 8/7 (x-3)^ 6/7 is equal to : (where C is a constant of integration)
- Let f be any function continuous on [a, b] and twice differentiable on (a, b). If for all x (a, b), f'(x) > 0 and f''(x) < 0,...
- The number of real roots of the equation e^ 4x +e^ 3x -4e^ 2x +e^x+1=0 is
- Let z be a complex number such that | z-i z+2i |=1 and |z|= 5 2 . Then the value of |z+3i| is :
- The value of ^3 ( 8 ) ( 3 8 )+ ^3 ( 8 ) ( 3 8 ) is
- If e_1 and e_2 are the eccentricities of the ellipse, x^2 18 + y^2 4 =1 and the hyperbola, x^2 9 - y^2 4 =1 respectively and...
- If f'(x)= ^ -1 ( x+ x), - 2 <x< 2 , and f(0) = 0, then f(1) is equal to
- Let the observations x_i (1 i 10) satisfy the equations, _ i=1 ^ 10 (x_i-5)=10 and _ i=1 ^ 10 (x_i-5)^2=40. If and are the mean...
- Negation of the statement : ' 5 is an integer or 5 is irrational' isNot in JEE syllabus
- If the number of five digit numbers with distinct digits and 2 at the 10^ th place is 336 k, then k is equal to
- If for all real triplets (a, b, c), f(x)=a+bx+cx^2; then _0^1 f(x) ,dx is equal to :
- Let C be the centroid of the triangle with vertices (3, −1), (1, 3) and (2, 4). Let P be the point of intersection of the lines x...
- The projection of the line segment joining the points (1, −1, 3) and (2, −4, 11) on the line joining the points (−1, 2, 3) and...
- If for x 0, y = y(x) is the solution of the differential equation, (x+1)dy=((x+1)^2+y-3) ,dx, y(2) = 0, then y(3) is equal to...
- The coefficient of x^4 in the expansion of (1+x+x^2)^ 10 is _____
- The number of distinct solutions of the equation, _ 1/2 | x| = 2 - _ 1/2 | x| in the interval [0, 2 ], is _____
- If the vectors, p =(a+1) i +a j +a k , q =a i +(a+1) j +a k and r =a i +a j +(a+1) k (a R) are coplanar and 3( p q )^2- | r q...