1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the number of terms in the expansion of $${[{(2x - 3y)^2}{(2x + 3y)^2}]^2}$$ ?
A
4
B
5
C
8
D
16
2
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
3
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

4
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

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