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1
BITSAT 2025
MCQ (Single Correct Answer)
+3
-1

Let $z$ be a complex number for which $\left|2 z \cos \theta+z^2\right|>1$, if $|z|

A

equal to $\sqrt{2}-1$

B

greater than $\sqrt{2}+1$

C

less than $\sqrt{2}-1$

D

greater than $\sqrt{2}-1$

2
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
The points represented by the complex number $ 1+i,-2+3 i, \frac{5}{3} i $ on the argand plane are
A
Vertices of an equilateral triangle
B
Vertical of an isosceles triangle
C
Collinear
D
None of the above
3
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
The modulus of the complex number $ z $ such that $ |z+3-i|=1 $ and $ \arg (z)=\pi $ is equal to
A
3
B
2
C
9
D
4
4
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
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