JEE Advanced questions
3844 published questions with worked solutions.
- The domain of the function f(x) = x^2 - [x]^2 , where [x] = the greatest integer less than or equal to x, is
- The domain of f(x) = 1 | x| + x is
- The domain of f(x) = _ x^2 - 1 (x) is
- The domain of f(x) = ^ -1 ! ( 1 + x^2 2x ) + 1 - x^2 is
- The domain of the function f(x) = ^ -1 1 - |x| 2 is
- The function f(x) = e^ ^ -1 ( _4 x^2) is real valued. It is defined if
- The domain of the real-valued function f(x) = _e| _e x| is
- If [ ] denotes the greatest integer function then the domain of the real-valued function _ [x + 12] |x^2 - x - 2| is
- The domain of the function f(x) = _e(x - [x]), where [ ] denotes the greatest integer function, is
- The domain of the function f(x) = ^ -1 (x + [x]), where [ ] denotes the greatest integer function, is
- Let f(x) = _ x^2 25 and g(x) = _x 5. Then f(x) = g(x) holds for x belonging to
- Let f(x) = ^2 x 2 + ^2 x 2 and g(x) = ^2 x - ^2 x. The two functions are equal over the set
- Let f(x) = ^ -1 ! ( x^2 1 + x^2 ). The range of f is
- The range of the real-valued function f(x) = 9 - x^2 is
- The range of the function f(x) = |x - 1| + |x - 2|, -1 x 3, is
- The range of the function y = _3(5 + 4x - x^2) is
- Let f : x, y, z a, b, c be a one-one function and only one of the conditions (i) f(x) b, (ii) f(y) = b, (iii) f(z) a is true....
- Let f : R R be a function such that f(x) = x^3 - 6x^2 + 11x - 6. Then
- Let f : R R be a function such that f(x) = x^3 + x^2 + 3x + x. Then
- If the real-valued function f(x) = px + x is a bijective function then the set of possible values of p R is