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

Number of solutions of the equation $$z^2+|z|^2=0$$ and $$z \neq 0$$ is

A
2
B
3
C
1
D
infinitely many solutions
2
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
$$4 k+3$$
3
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
$$|z| \le 3$$
4
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
BITSAT Subjects
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12