JEE Main questions
34495 published questions with worked solutions.
- Let f(x)=x+1 and (x)=x-2. Then the values of x satisfying |f(x)+ (x)|=|f(x)|+| (x)| are
- The domain of f(x)= | _ex| is
- The period of ^2 is
- The domain of definition of the function f(x)= _2 [-( _2x)^2+5 _2x-6 ] is
- If D is the set of all real x such that 1-e^ 1x-1 is positive, then D is equal to
- If the functions f(x)= (x-2)- (x-3) and g(x)= ( x-2 x-3 ) are identical, then
- If f(x) is an even function, then the curve y=f(x) is symmetric about
- The domain of definition of f(x)= _ 10 _ 10 _ 10 _ n times x is
- The function f(x)= _ 2x-5 (x^2-3x-10) is defined for all x belonging to
- The domain of definition of the function f(x)= [3] 2x+1 x^2-10x-11 is
- Let f:[ ,3 /2] R be a function given by f(x)=[ x]+[1+ x]+[2+ x]. Then the range of f(x) is
- The domain of definition of f(x)= _3| _ex| is
- The domain of the function f(x)= cosec ^ -1 [ x] in [0,2 ], where [ ] denotes the greatest integer function, is
- The range of the function f(x)= x+2 x^2-8x-4 is
- The domain of the function f(x)= ^ 16-x C_ 2x-1 + ^ 20-3x P_ 4x-5 , where the symbols have their usual meanings, is the set
- Let f(x)= cases 0, & x=0 x^2 2x , & |x|<1 x|x|, & |x| 1 cases . Then f(x) is
- The domain of definition of the function f(x)= ^ -1 ( x-3 2 )- _ 10 (4-x) is
- Let f:R R be a function defined by f(x)=- |x|^3+|x| 1+x^2 , then the graph of f(x) lies in the
- If f(x) and g(x) are two real functions such that f(x)+g(x)=e^x and f(x)-g(x)=e^ -x , then
- If f(x) is defined on [0,1], then the domain of f(3x^2) is