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 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
If k is a root of , then what is equal to?
A
π/2
B
0
C
π/4
D
π/2
3
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
If , then what is the value of k?
A
1
B
1/2
C
1/3
D
1/4
4
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
Consider the following for the two (02) items that follow:
Let  $y = \sin^{-1} \left( x - \frac{4x^3}{27} \right).$
What is y equal to?
A
sin-1x
B
sin-1 $ \frac{x}{3}$
C
3sin-1x
D

3sin-1$(\frac{x}{3})$

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