JEE Advanced questions
3844 published questions with worked solutions.
- Let f(x)= x, g(x)=[x+1] and g f(x) =h(x), where [ ] is the greatest integer function. Then h' ! ( 2 ) is
- Let f(x)=[x], g(x)=|x| and f g(x) =h(x), where [ ] is the greatest integer function. Then h'(-1) is
- The number of values of x [0,2] at which the real function f(x)= |x- 12 |+|x-1|+ x is not finitely differentiable is
- Let f(x)=[n+p x], x (0, ), n Z , p is a prime number and [x]= the greatest integer less than or equal to x. The number of points...
- Let f(x)= cases (x-1)^2 1 x-1 -|x|, & x 1 -1, & x=1. cases The set of points where f(x) is not differentiable is
- Let f(x)= 1- x 2x , x 2 . If f(x) is continuous at x= 2 then f ! ( 2 ) should be
- A function f(x) is defined as below f(x)= ( x)- x x^2 , x 0 and f(0)=a. f(x) is continuous at x=0 if a equals
- Let f(x)= cases 1- x 4x- , & x 4 and x [0, 2 ) [2mm] , & x= 4 cases If f(x) is continuous in [0, 2 ) then is
- Let f(x)=( x)^ 1 -2x , x 2 . If f(x) is continuous at x= 2 then f ! ( 2 ) is
- Let f(x)= 1x, x 0. Then f(x) can be continuous at x=0
- If f(x)= cases px^2-q, & x [0,1) x+1, & x (1,2] cases and f(1)=2 then the value of the pair (p,q) for which f(x) cannot be...
- If f(x)=x, x 1, and f(x)=x^2+bx+c, x>1, and f'(x) exists finitely for all x R then
- If f(x)= cases e^x, & x<2 a+bx, & x 2 cases is differentiable for all x R then
- Let f(x)=x-|x|. Then
- If f(x)=[x]+ [x+ 12 ], where [ ] denotes the greatest integer function, then
- At x=0, the function y=e^ -|x| is
- A function f(x) is defined as follows: f(x)= cases -x^2, & x 0 5x-4, & 0<x 1 4x^2-3x, & 1<x 2 3x+4, & x>2 cases
- The function f(x)= 1x- 2 e^ 2x -1 , x 0, is continuous at x=0. Then
- The function f(x)=|x^2-3x+2|+ |x| is not differentiable at x=
- Let f(x) be defined as follows: f(x)= cases x^6, & x^2>1 x^3, & x^2 1. cases Then f(x) is