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 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
What is$\cot ^{-1}9+\>\mathrm{cosec}\>{}^{-1}\left(\frac{\sqrt{41}}{4}\right)$
equal to?
1
$\frac{\pi }{4} $
2
$\frac{\pi }{3} $
3
$​​\frac{\pi }{2} $
4
${\pi } $
4
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
What is the value of $\tan \left[\frac{1}{2}\sec ^{-1}\left(\frac{2}{\sqrt{3}}\right)\right]?$
1
$2-\sqrt{3}$
2
$2+\sqrt{3}$
3
$\sqrt{3}-1$
4
$\sqrt{3}+1$