JEE Advanced questions
3844 published questions with worked solutions.
- If f(x) is continuous in [0,1] and f ( 13 )=1 then _ n f ( n 9n^2+1 ) is
- If f(x) is continuous and f ( 92 )= 29 then _ x 0 f ( 1- 3x x^2 ) is equal to
- Let f(x)= cases 1+ 2x a , & 0 x<1 [2mm] ax, & 1 x<2. cases If _ x 1 f(x) exists then a is
- If is a repeated root of ax^2+bx+c=0 then _ x (ax^2+bx+c) (x- )^2 is
- If _ n (an- 1+n^2 1+n )=b, a finite number, then
- Let f(x) = |x-1|, x 1. The value of f' ! ( 12 )
- Let y = | ( 4 -x ) |. Then dy dx at x= 4
- Let y = |x| + |x-2|. Then dy dx at x=2
- Let f(x) = + |x| + |x|^2, where , , are real constants. Then f'(0) exists if
- If f(x) = [x] |x| , x 0, where [ ] denotes the greatest integer function, then f'(1) is
- If f(x) = | 2x| then f' ! ( 4 +0 ) is equal to
- If f(x) = [x] then f'(1-0) is equal to
- Let f(x) = [x^2] - [x]^2, where [ ] denotes the greatest integer function. Then
- Let f(x) = [ x + x], 0 < x < 2 , where [x] denotes the greatest integer less than or equal to x. The number of points of...
- Let f(x) = x - |x - x^2|, x [-1,1]. Then the number of points at which f(x) is discontinuous is
- Let f(x)= cases 1+x^2 , & x< 3 3 ,x-1, & 3 x<4 [x], & 4 x<5, where [x] is the greatest integer x |1-x|, & x 5 cases The number of...
- Let f(x)= _0^x t 1t ,dt. Then the number of points of discontinuity of the function f(x) in the open interval (0, ) is
- Let f:[0,1] [0,1] be a continuous function. Then
- Let f(x) be a continuous function defined for 1 x 3. If f(x) takes rational values for all x and f(2)=10 then the value of f(1.5)...
- If f(x)=e^ -1/x^2 , x 0, and f(0)=0 then f'(0) is