Explore topic-wise InterviewSolutions in .

This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.

1.

यदि `sin^(-1) x + 2cos^(-1) x = sin^(-1) y`, तो x बराबर है -A. `-y`B. `y`C. `(pi)/(2)-y`D. `(pi)/(2)+y`

Answer» Correct Answer - b
2.

`sin^(-1)((sqrt(3))/(2)) + 2cos^(-1) ((sqrt(3))/(2))`का मान है -A. `(pi)/(2)`B. `(pi)/(3)`C. `(2pi)/(3)`D. `pi`

Answer» Correct Answer - c
3.

यदि ` sin^(-1)((1)/(2))=x`, तो X का व्यापक मान है -A. `2npi pm (pi)/(6)`B. `(pi)/(6)`C. `npi pm (pi)/(6)`D. `npi + (-1)^(n).(pi)/(6)`

Answer» Correct Answer - d
4.

`cot [tan^(-1) alpha + cot ^(-1) alpha]` का मान है -A. 1B. 0C. `oo`D. इनमे से कोई नहीं

Answer» Correct Answer - c
5.

`tan^(-1)(-1)` का मुख्य मान है -A. `45^(@)`B. `135^(@)`C. `-45^(@)`D. `-60^(@)`

Answer» Correct Answer - c
6.

यदि `tan^(-1)((3)/(4)) = theta`, तो `sin theta` का मुख्य मान है -A. `(5)/(3)`B. `(3)/(5)`C. `(4)/(3)`D. `(1)/(4)`

Answer» Correct Answer - b
7.

`cos[(pi)/(2) + sin^(-1) ((1)/(3))]` का मान है -A. `-(1)/(3)`B. `(1)/(3)`C. 0D. इनमे से कोई नहीं

Answer» Correct Answer - a
8.

`2 tan (tan^(-1) x + tan^(-1) x^(3))` का मान है -A. `(2x)/(1-x^(2))`B. `1+x^(2)`C. 2xD. इनमे से कोई नहीं

Answer» Correct Answer - a
9.

`2tan^(-1)((1)/(2))` का मान बराबर हैA. `cos^(-1)((3)/(5))`B. `cos^(-1)((3)/(4))`C. `cos^(-1)((5)/(3))`D. `cos^(-1)((1)/(2))`

Answer» Correct Answer - a
10.

यदि `cot^(-1)x + tan^(-1)((1)/(3))= (pi)/(2)`, तो x का मान है -A. 1B. 3C. `1//3`D. इनमे से कोई नहीं

Answer» Correct Answer - c
11.

यदि `theta =cot^(-1) 7 +cot^(-1) 8 + cot^(-1) 18`, तो `cot theta` का मान हैA. 2B. 3C. 4D. 5

Answer» Correct Answer - b
12.

यदि `tan^(-1)(1)+cos^(-1) ((1)/(sqrt(2))) = sin ^(-1)x`, तो x का मान है -A. `-1`B. 0C. 1D. `-1//2`

Answer» Correct Answer - c
13.

यदि `tan^(-1)3x + tan^(-1) 2x=(pi)/(4)`, तो x का मान है -A. `(1)/(6)`B. `(1)/(3)`C. `(1)/(10)`D. `(1)/(2)`

Answer» Correct Answer - a
14.

यदि `(tan^(-1)x)^(2) + (cot^(-1) x)^(2) = (5pi^(2))/(8)` तो `x` बराबर है -A. `-1`B. 1C. 0D. इनमे से कोई नहीं

Answer» Correct Answer - a