1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $${\sin ^{ - 1}}{{2p} \over {1 + {p^2}}} - {\cos ^{ - 1}}{{1 - {q^2}} \over {1 + {q^2}}} = {\tan ^{ - 1}}{{2x} \over {1 - {x^2}}}$$, then what is x equal to?
A
$${{p + q} \over {1 + pq}}$$
B
$${{p - q} \over {1 + pq}}$$
C
$${{pq} \over {1 + pq}}$$
D
$${{p + q} \over {1 - pq}}$$
2
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
If 4 sin-1 x + cos-1 x = π, then what is sin-1 x + 4 cos-1 x equal to?
1
π/2
2
π 
3
3π/2
4
2π 
3
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
What is cot2(sec-1 2) + tan2 (cosec-1 3) equal to ?
1
11/12
2
11/24
3
7/24
4
1/24
4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

If $\cos^{-1} x = \sin^{-1} x$, then which one of the following is correct?

A

$x = 1$

B

$x = \frac{1}{2}$

C

$x = \frac{1}{\sqrt{2}}$

D

$x = \frac{1}{\sqrt{3}}$

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