1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
In the expansion of (1 + ax)n, the first three terms are respectively 1, 12x and 64x2. What is n equal to?
A
6
B
9
C
10
D
12
2
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

What is the coefficient of $x^{10}$ in the expansion of $(1-x^2)^{20}\left(2-x^2-\frac{1}{x^2}\right)^{-5}$?

A

-1

B

1

C

10

D

Coefficient of $x^{10}$ does not exist

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

If the 4th term in the expansion of $\left(mx + \frac{1}{x}\right)^n$ is $\frac{5}{2}$, then what is the value of $mn$?

A

-3

B

3

C

6

D

12

4
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

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