1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $$p = \cos ec\theta - \cot \theta $$ and $$q = {(\cos ec\theta + \cot \theta )^{ - 1}}$$, then which one of the following is correct?
A
pq = 1
B
p = q
C
p + q = 1
D
p + q = 0
2
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
$$ \text { What is } \frac{\sqrt{3} \cos 10^{\circ}-\sin 10^{\circ}}{\sin 25^{\circ} \cos 25^{\circ}} \text { equal to ? } $$
A

1

B

$\sqrt{3}$

C

2

D

4

3
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

What is $\sin 9^\circ - \cos 9^\circ$ equal to?

A
$$-\frac{\sqrt{5-\sqrt{5}}}{2}$$
B
$$-\frac{\sqrt{5-\sqrt{3}}}{2}$$
C
$$\frac{\sqrt{5-\sqrt{5}}}{2}$$
D
$$\frac{\sqrt{5-\sqrt{5}}}{4}$$
4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

What is the number of solutions of $(\sin \theta - \cos \theta)^2 = 2$ where $-\pi < \theta < \pi$?

A

Only one

B

Only two

C

Four

D

No solution

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