1
BITSAT 2023
MCQ (Single Correct Answer)
+3
-1

If $$z_1$$ and $$z_2$$ be nth root of unity which subtend a right angled at the origin. Then, $$n$$ must be of the form

A
$$4 K+1$$
B
$$4 k$$
C
$$4 k+2$$
D
$$4 k+3$$
2
BITSAT 2022
MCQ (Single Correct Answer)
+3
-1

If $$|w| = 2$$, then the set of points $$z = w - {1 \over w}$$ is contained in or equal to the set of points z satisfying

A
$$Im(z) = 0$$
B
$$|Im(z)| \le 1$$
C
$$|Re(z)| \le 2$$
D
$$|z| \le 3$$
3
BITSAT 2022
MCQ (Single Correct Answer)
+3
-1

The smallest positive integral value of n such that $${\left[ {{{1 + \sin {\pi \over 8} + i\cos {\pi \over 8}} \over {1 + \sin {\pi \over 8} - i\cos {\pi \over 8}}}} \right]^n}$$ is purely imaginary, is equal to

A
4
B
3
C
2
D
8
4
BITSAT 2021
MCQ (Single Correct Answer)
+3
-1

If Re(z + 2) = | z $$-$$ 2 |, then the locus of z is

A
parabola
B
circle
C
ellipse
D
hyperbola
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