1

JEE Main 2021 (Online) 20th July Morning Shift

MCQ (Single Correct Answer)

+4

-1

Let $$A = [{a_{ij}}]$$ be a 3 $$\times$$ 3 matrix, where $${a_{ij}} = \left\{ {\matrix{
1 & , & {if\,i = j} \cr
{ - x} & , & {if\,\left| {i - j} \right| = 1} \cr
{2x + 1} & , & {otherwise.} \cr
} } \right.$$

Let a function f : R $$\to$$ R be defined as f(x) = det(A). Then the sum of maximum and minimum values of f on R is equal to:

Let a function f : R $$\to$$ R be defined as f(x) = det(A). Then the sum of maximum and minimum values of f on R is equal to:

2

JEE Main 2021 (Online) 20th July Morning Shift

MCQ (Single Correct Answer)

+4

-1

Let 'a' be a real number such that the function f(x) = ax

^{2}+ 6x $$-$$ 15, x $$\in$$ R is increasing in $$\left( { - \infty ,{3 \over 4}} \right)$$ and decreasing in $$\left( {{3 \over 4},\infty } \right)$$. Then the function g(x) = ax^{2}$$-$$ 6x + 15, x$$\in$$R has a :3

JEE Main 2021 (Online) 17th March Evening Shift

MCQ (Single Correct Answer)

+4

-1

Consider the function f : R $$ \to $$ R defined by

$$f(x) = \left\{ \matrix{ \left( {2 - \sin \left( {{1 \over x}} \right)} \right)|x|,x \ne 0 \hfill \cr 0,\,\,x = 0 \hfill \cr} \right.$$. Then f is :

$$f(x) = \left\{ \matrix{ \left( {2 - \sin \left( {{1 \over x}} \right)} \right)|x|,x \ne 0 \hfill \cr 0,\,\,x = 0 \hfill \cr} \right.$$. Then f is :

4

JEE Main 2021 (Online) 16th March Evening Shift

MCQ (Single Correct Answer)

+4

-1

Let f be a real valued function, defined on R $$-$$ {$$-$$1, 1} and given by

f(x) = 3 log

Then in which of the following intervals, function f(x) is increasing?

f(x) = 3 log

_{e}$$\left| {{{x - 1} \over {x + 1}}} \right| - {2 \over {x - 1}}$$.Then in which of the following intervals, function f(x) is increasing?

Questions Asked from Application of Derivatives (MCQ (Single Correct Answer))

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