JEE Advanced questions
3844 published questions with worked solutions.
- _ n 4^ 1/n -1 3^ 1/n -1 is equal to
- _ x x+ x x^ 2 is equal to
- _ x 0 3^ x -2^ x 4^ x -3^ x is equal to
- _ h 0 1 h [3] 8+h - 1 2h is equal to
- _ n n^ p ^ 2 (n!) n+1 , 0<p<1, is equal to
- _ x 0 x y^ 2 -(y-x)^ 2 ( 8xy-4x^ 2 + 8xy )^ 3 is equal to
- _ x 0 (1+x+x^ 2 )-e^ x x^ 2 is equal to
- _ x 0 x 2x-2x x (1- 2x)^ 2 is equal to
- _ x 0 _e(1+x) x^ 2 + x-1 x is equal to
- _ n (0.2)^ _ 5 ( 14+ 18+ 1 16 + to n terms ) is equal to
- Let the rth term, t_r, of a series be given by t_r= r 1+r^ 2 +r^ 4 . Then _ n _ r=1 ^ n t_r is
- Let a= x^ 2 +2x+3, x R and b= _ 0 1- ^ 2 . The value of _ r=0 ^ n a^ r b^ n-r is
- _ x 1 _ r=1 ^ n x^ r -n x-1 is equal to
- _ x 0 x- x x x is equal to
- _ x 0 x- x x+ ^ 2 x is equal to
- _ x 0 _e x x^ 2 is equal to
- _ x 0 ^ -1 x- ^ -1 x x^ 2 is equal to
- If f(4)=4, f'(4)=1 then _ x 4 2- f(x) 2- x is equal to
- The graph of the function y=f(x) has a unique tangent at the point (a,0) through which the graph passes. Then _ x a _e 1+6f(x)...
- Let f(x) be a twice-differentiable function and f''(0)=2 then _ x 0 2f(x)-3f(2x)+f(4x) x^ 2 is