HARD
JEE Main
IMPORTANT
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Let . Then, the real values of satisfying the inequality, , are
(a)
(b)
(c)
(d)

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Important Questions on Functions
MEDIUM
JEE Main
IMPORTANT
If a function satisfies and then

MEDIUM
JEE Main
IMPORTANT
If the fundamental period of function is , then the value of is/are:

HARD
JEE Main
IMPORTANT
Let be a real-valued function such that and , then for some real :

MEDIUM
JEE Main
IMPORTANT
If is one-one function, then:

MEDIUM
JEE Main
IMPORTANT
Which of the following functions have their range equal to (the set of real numbers)?

HARD
JEE Main
IMPORTANT
Which of the following pairs of functions are identical?

MEDIUM
JEE Main
IMPORTANT
For the following questions, choose the correct answers from the codes and defined as follows:
Statement : The function and are both non-periodic.
Statement : The derivative of differentiable function (non-periodic) is non-periodic function.

MEDIUM
JEE Main
IMPORTANT
Statement : The maximum value of cannot be .
(where is positive rational number)
Statement : is irrational.
