1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If z is a complex number such that $\frac{z-1}{z+1}$ is purely imaginary, then what is |z| equal to ? 
A
$\frac{1}{2}$
B
$\frac{2}{3}$
C
1
D
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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