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NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
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What is $\tan^{-1} \left( \frac{a}{b} \right) - \tan^{-1} \left( \frac{a - b}{a + b} \right)$ equal to?

A

$-\frac{\pi}{4}$

B

$\frac{\pi}{4}$

C

$\tan^{-1} \left( \frac{a^2 - b^2}{a^2 + b^2} \right)$

D

$\tan^{-1} \left( \frac{2ab}{a^2 + b^2} \right)$

2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is 2 cot $\left(\frac{1}{2} \cos ^{-1} \frac{\sqrt{5}}{3}\right)$ equal to ?
A
-1
B
1
C
3 + √5
D
3 - √5
3
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If sec-1 p - cosec-1q = 0, where p > 0, q > 0; then what is the value of p-2 + q-2 ?
A
1
B
2
C
$\frac{1}{2}$
D
$\frac{1}{2\sqrt 2}$
4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is $1+\sin ^2\left(\cos ^{-1}\left(\frac{3}{\sqrt{17}}\right)\right)$ equal to ?
A
$\frac{25}{17}$
B
$\frac{8}{17}$
C
$\frac{9}{17}$
D
$\frac{47}{17}$
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