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

Mathematics

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following :

1. A ∩ B = A ∩ C ⇒ B = C

2. A ∪ B = A ∪ C ⇒ B = C

Which of the above is/are correct ?

1 only

2 only

Both 1 and 2

Neither 1 nor 2

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