1

JEE Main 2019 (Online) 10th April Evening Slot

MCQ (Single Correct Answer)

+4

-1

If $${\cos ^{ - 1}}x - {\cos ^{ - 1}}{y \over 2} = \alpha $$,where –1 $$ \le $$ x $$ \le $$ 1, – 2 $$ \le $$ y $$ \le $$ 2, x $$ \le $$ $${y \over 2}$$
, then for all x, y, 4x

^{2}– 4xy cos $$\alpha $$ + y^{2}is equal to :2

JEE Main 2019 (Online) 8th April Morning Slot

MCQ (Single Correct Answer)

+4

-1

If $$\alpha = {\cos ^{ - 1}}\left( {{3 \over 5}} \right)$$, $$\beta = {\tan ^{ - 1}}\left( {{1 \over 3}} \right)$$ where $$0 < \alpha ,\beta < {\pi \over 2}$$ , then $$\alpha $$ - $$\beta $$ is equal to :

3

JEE Main 2019 (Online) 12th January Morning Slot

MCQ (Single Correct Answer)

+4

-1

Considering only the principal values of inverse functions, the set

A = { x $$ \ge $$ 0: tan

A = { x $$ \ge $$ 0: tan

^{$$-$$1}(2x) + tan^{$$-$$1}(3x) = $${\pi \over 4}$$}4

JEE Main 2019 (Online) 11th January Evening Slot

MCQ (Single Correct Answer)

+4

-1

All x satisfying the inequality (cot

^{–1}x)^{2}– 7(cot^{–1}x) + 10 > 0, lie in the interval :Questions Asked from Inverse Trigonometric Functions (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

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