1
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
In a binomial expansion of $(x+y)^{2 n+1}(x-y)^{2 n+1}$, the sum of middle terms is zero. What is the value of $\left(\frac{x^2}{y^2}\right)$ ?
A

1

B

2

C

4

D

8

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

Let $A = \{1, 2, 3, 4, 5\}$ and $B = \{6, 7\}$. What is the number of onto functions from $A$ to $B$?

A

10

B

20

C

30

D

32

3
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

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