1

JEE Main 2021 (Online) 20th July Evening Shift

MCQ (Single Correct Answer)

+4

-1

The value of $$\tan \left( {2{{\tan }^{ - 1}}\left( {{3 \over 5}} \right) + {{\sin }^{ - 1}}\left( {{5 \over {13}}} \right)} \right)$$ is equal to :

2

JEE Main 2021 (Online) 20th July Morning Shift

MCQ (Single Correct Answer)

+4

-1

The number of real roots of the equation $${\tan ^{ - 1}}\sqrt {x(x + 1)} + {\sin ^{ - 1}}\sqrt {{x^2} + x + 1} = {\pi \over 4}$$ is :

3

JEE Main 2021 (Online) 17th March Evening Shift

MCQ (Single Correct Answer)

+4

-1

The number of solutions of the equation

$${\sin ^{ - 1}}\left[ {{x^2} + {1 \over 3}} \right] + {\cos ^{ - 1}}\left[ {{x^2} - {2 \over 3}} \right] = {x^2}$$, for x$$\in$$[$$-$$1, 1], and [x] denotes the greatest integer less than or equal to x, is :

$${\sin ^{ - 1}}\left[ {{x^2} + {1 \over 3}} \right] + {\cos ^{ - 1}}\left[ {{x^2} - {2 \over 3}} \right] = {x^2}$$, for x$$\in$$[$$-$$1, 1], and [x] denotes the greatest integer less than or equal to x, is :

4

JEE Main 2021 (Online) 17th March Morning Shift

MCQ (Single Correct Answer)

+4

-1

The sum of possible values of x for

tan

tan

^{$$-$$1}(x + 1) + cot^{$$-$$1}$$\left( {{1 \over {x - 1}}} \right)$$ = tan^{$$-$$1}$$\left( {{8 \over {31}}} \right)$$ is :Questions Asked from Inverse Trigonometric Functions (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

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