1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the value of $${\sin ^{ - 1}}{4 \over 5} + {\sec ^{ - 1}}{5 \over 4} - {\pi \over 2}$$ ?
A
$${\pi \over 4}$$
B
$${\pi \over 2}$$
C
$$\pi $$
D
0
2
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
$${{p + q} \over {1 - pq}}$$
3
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

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

4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

What is $\sqrt{15 + \cot^2 \left( \frac \pi 4 - 2 \cot^{-1} 3 \right)}$ equal to?

A

1

B

7

C

8

D

16

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