JEE Main questions
34495 published questions with worked solutions.
- Which of the following functions is periodic?
- The value of n Z (the set of integers) for which the function f(x)= nx ( x n ) has 4 as its period is
- If f:N N is defined by f(n)= the sum of positive divisors of n, then f(2^k 3), where k is a positive integer, is
- The domain of definition of the function f(x)=x^ 1 _ 10 x is
- Let the function f(x)=3x^2-4x+8 (1+|x|) be defined on the interval [0,1]. The even extension of f(x) to the interval [-1,0) is
- The period of the function f(x)=| 3x|+| 3x| is
- f:[-4,0] R is given by f(x)=e^x+ x. Its even extension to [-4,4] is
- The function f(x)=x[x] is
- The domain of the function f(x)= - _ 0.3 (x-1) -x^2+3x+18 is
- The domain of definition of the function f(x)= ^ 7-x P_ x-3 is
- The domain of definition of the function f(x)= _3 - _4 ( 6x-4 6x+5 ) is
- The equivalent definition of f(x)= ||x|-1 | is
- The function f(x)= ( x) + ^ -1 ( 1+x^2 2x ) is defined for
- The range of f(x)= ( 4 ^2x ), - <x< , is
- If x R, then f(x)= ^ -1 ( 2x 1+x^2 ) is equal to
- The period of the function f(x)= ^43x+ ^43x is
- The period of the function ( x 2 )+ ( x 2 ) is
- Let f(x)= x 1+ [3] x . If D is the domain of f, then D contains
- If f( x)-f(- x)=x^2-1 is defined for all x R, then the value of x^2-2 can be
- The set of all x for which there are no functions f(x)= _ (x-2)/(x+3) 2 and g(x)= 1 x^2-9 is