1
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
$$ \text { What is } \frac{\sqrt{3} \cos 10^{\circ}-\sin 10^{\circ}}{\sin 25^{\circ} \cos 25^{\circ}} \text { equal to ? } $$
A

1

B

$\sqrt{3}$

C

2

D

4

2
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83

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

$\frac{\sqrt{5} - \sqrt{5}}{4}$

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

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

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

What is the value of $\sin10^{\circ} \cdot \sin50^{\circ} + \sin50^{\circ} \cdot \sin250^{\circ} + \sin250^{\circ} \cdot \sin10^{\circ}$ equal to?

A

$-\frac{1}{4}$

B

$-\frac{3}{4}$

C

$3 \sin 10^{\circ} / 4$

D

$3 \cos 10^{\circ} / 4$

EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12