NDA Mathematics 4 September 2022 | NDA Year Wise Previous Years Questions

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NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

Let z = $\frac{1+\text{i}\sin \theta}{1−\text{i}\sin \theta}$ where i = $\sqrt{−1}$

What is the modulus of z?

$\sqrt{2}$

1 + sin2 θ

$\frac{1+\sin^2\theta}{1−\sin^2\theta}$

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

Let z = $\frac{1+\text{i}\sin \theta}{1−\text{i}\sin \theta}$ where i = $\sqrt{−1}$

What is angle θ such that z is purely real ?

where n is an integer

$\frac{n\pi}{2}$

$\frac{(2n+1)\pi}{2}$

nπ

2nπ only

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

Let z = $\frac{1+\text{i}\sin \theta}{1−\text{i}\sin \theta}$ where i = $\sqrt{−1}$

What is angle θ such that z is purely imaginary ?

where n is an integer

$\frac{n\pi}{2}$

$\frac{(2n+1)\pi}{2}$

nπ

2nπ

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

Let P be the sum of first n positive terms of an increasing arithmetic progression A. Let Q be the sum of first n positive terms of another increasing arithmetic progression B.

Let P ∶ Q = (5n + 4) ∶ (9n + 6)

What is the ratio of the first term of A to that of B ?

1/3

2/5

3/4

3/5

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