1

JEE Main 2021 (Online) 16th March Morning Shift

MCQ (Single Correct Answer)

+4

-1

The range of a$$\in$$R for which the

function f(x) = (4a $$-$$ 3)(x + log

function f(x) = (4a $$-$$ 3)(x + log

_{e}5) + 2(a $$-$$ 7) cot$$\left( {{x \over 2}} \right)$$ sin^{2}$$\left( {{x \over 2}} \right)$$, x $$\ne$$ 2n$$\pi$$, n$$\in$$N has critical points, is :2

JEE Main 2021 (Online) 26th February Evening Shift

MCQ (Single Correct Answer)

+4

-1

Let $$A = \{ 1,2,3,....,10\} $$ and $$f:A \to A$$ be defined as

$$f(k) = \left\{ {\matrix{ {k + 1} & {if\,k\,is\,odd} \cr k & {if\,k\,is\,even} \cr } } \right.$$

Then the number of possible functions $$g:A \to A$$ such that $$gof = f$$ is :

$$f(k) = \left\{ {\matrix{ {k + 1} & {if\,k\,is\,odd} \cr k & {if\,k\,is\,even} \cr } } \right.$$

Then the number of possible functions $$g:A \to A$$ such that $$gof = f$$ is :

3

JEE Main 2021 (Online) 25th February Evening Shift

MCQ (Single Correct Answer)

+4

-1

A function f(x) is given by $$f(x) = {{{5^x}} \over {{5^x} + 5}}$$, then the sum of the series $$f\left( {{1 \over {20}}} \right) + f\left( {{2 \over {20}}} \right) + f\left( {{3 \over {20}}} \right) + ....... + f\left( {{{39} \over {20}}} \right)$$ is equal to :

4

JEE Main 2021 (Online) 25th February Evening Shift

MCQ (Single Correct Answer)

+4

-1

Let x denote the total number of one-one functions from a set A with 3 elements to a set B with 5 elements and y denote the total number of one-one functions form the set A to the set A $$\times$$ B. Then :

Questions Asked from Functions (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

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