1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following :

1. A ∩ B = A ∩ C ⇒ B = C

2. A ∪ B = A ∪ C ⇒ B = C

Which of the above is/are correct ?

A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
2
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Let z = $\frac{1+\text{i}\sin \theta}{1−\text{i}\sin \theta}$ where i = $\sqrt{−1}$

What is the modulus of z?

A
1
B
$\sqrt{2}$
C
1 + sin2 θ
D
$\frac{1+\sin^2\theta}{1−\sin^2\theta}$
3
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
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

A
$\frac{n\pi}{2}$
B
$\frac{(2n+1)\pi}{2}$
C
D
2nπ only
4
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
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

A
$\frac{n\pi}{2}$
B
$\frac{(2n+1)\pi}{2}$
C
D
2nπ
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