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# Previous year Questions (2016-20) - Inverse Trigonometric Functions Notes | EduRev

## JEE : Previous year Questions (2016-20) - Inverse Trigonometric Functions Notes | EduRev

The document Previous year Questions (2016-20) - Inverse Trigonometric Functions Notes | EduRev is a part of the JEE Course Mathematics (Maths) Class 12.
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Q.1.then x is equal to:    (2019)

Ans. (1)
Solution.

Q.2. If x = sin-1 (sin 10) and y = cos-1 (cos 10), then y - x is equal to:   (2019)
(1) 0
(2) 10
(3) 7 Ï€
(4) Ï€

Ans. (4)
Solution.

Q.3.     (2019)
(1) 21/19
(2) 19/21
(3) 22/23
(4) 23/22
Ans. (1)
Solution.

Q.4. All x-satisfying the inequality (cot-1 x)- 7(cot-1x)+ 10 > 0, lie in the interval:    (2019)
(1) (-âˆž, cot 5) âˆª (cot 4, cot 2)
(2) (cot 2, âˆž)
(3) (-âˆž, cot 5) âˆª (cot 2, âˆž)
(4) (cot 5, cot 4)

Ans. (2)
Solution.

â‡’  ...(1)
But cot-1 x lies in (0, Ï€)
Now, from equation (1)
cot-1x âˆˆ  (0, 2)
Now, it is clear from the graph
x âˆˆ (cot 2, âˆž)

Q.5. Considering only the principal values of inverse functions, the set     (2019)
(1) contains two elements
(2) contains more than two elements
(3)  is a singleton
(4) is an empty set

Ans. (3)
Solution.

Therefore, A is a singleton set.

Q.6.then Î± - Î² is equal to:    (2019)

Ans. (4)
Solution.

Q.7.where -1 â‰¤ x â‰¤ 1, -2 â‰¤ y â‰¤ 2,  then for all x, y, 4x2 -4xy cosÎ± +y2 is equal to:    (2019)
(1) 4 sin2Î±
(2) 2 sin2Î±
(3) 4 sin2Î± - 2x2y2
(d) 4 cos2 Î± + 2x2y2

Ans. (1)
Solution.

Q.8. The value of  is equal to:    (2019)

Ans. (2)
Solution.

Q.9. If for xâˆˆ  the derivative of tan-1 is âˆšx Ã— g(x) , then g(x) equals     (2017)
(1)
(2)
(3)
(4)
Ans.
(2)
Solution.

â‡’
â‡’

Q.10. The value of  is equal to:     (2017)

Ans. (1)
Solution.
x2 = cos2Î¸ ; Î¸ =
=
=

=

Q.11. A value of x satisfying the equation sin[cot-1(1+x)]=cos[tan-1x], is:    (2017)
(1)
(2) 0
(3) -1
(4) 1/2
Ans. (1)
Solution.
Given that sin[cot-1 (x+1)] = cos (tan-1x) ......(i)
We know that,

Here, A = x + 1

or 1 + 2x = 0
or

Q.12. Consider
A normal to y = f(x) at x = Ï€/6 also passes through the point:    (2016)
(1) (0, 0)
(2) (0, 2Ï€/3)
(3) (Ï€/6, 0)
(4) (Ï€/4, 0)
Ans.
(2)

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## Mathematics (Maths) Class 12

209 videos|222 docs|124 tests

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