WBJEE PYQs for Algebra of Complex Numbers with Solutions: Practice WBJEE Previous Year Questions

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Yashodeep Mahurkar

Updated on - Dec 31, 2025

Algebra of Complex Numbers is an important topic in the Mathematics section in WBJEE exam. Practising this topic will increase your score overall and make your conceptual grip on WBJEE exam stronger.

This article gives you a full set of WBJEE PYQs for Algebra of Complex Numbers with explanations for effective preparation. Practice of WBJEE Mathematics PYQs including Algebra of Complex Numbers questions regularly will improve accuracy, speed, and confidence in the WBJEE 2026 exam.

WBJEE PYQs for Algebra of Complex Numbers with Solutions

1.
Reflection of the line $\bar{a}z$+$a\bar{z}$=0 in the real axis is given by
- $az+\bar{az}=0$
- $\bar{a}z-a\bar{z}=0$
- $az-\bar{az}=0$
- $\frac{a}{z}+\frac{\bar a}{z}=0$
View Solution
2.
If the vertices of a square z₁,z₂,z₃ and z₄ taken in the anti-clockwise order, then z₃=
- -iz₁-(1+i)z₂
- z₁-(1+i)z₂
- z₁+(1+i)z₂
- -iz₁+(1+i)z₂
View Solution
3.
Let $z_1$ and $z_2$ be complex numbers such that $z_1 \neq z_2$ and $| z_1| = | z_2 |$ . If Re $(z_1) > 0$ and $Im (z_2) < 0 $ ,then $\frac{z_1+ z_2}{z_1 - z_2}$ is
- One
- real and positive
- real and negative
- purely imaginary
View Solution

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WBJEE PYQs for Algebra of Complex Numbers with Solutions

1.Reflection of the line \(\bar{a}z\)+\(a\bar{z}\)=0 in the real axis is given by

2.If the vertices of a square z1,z2,z3 and z4 taken in the anti-clockwise order, then z3=

3.Let $z_1$ and $z_2$ be complex numbers such that $z_1 \neq z_2$ and $| z_1| = | z_2 |$ . If Re $(z_1) > 0$ and $Im (z_2) < 0 $ ,then $\frac{z_1+ z_2}{z_1 - z_2}$ is

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Structure based on different categories

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1.
Reflection of the line \(\bar{a}z\)+\(a\bar{z}\)=0 in the real axis is given by

2.
If the vertices of a square z₁,z₂,z₃ and z₄ taken in the anti-clockwise order, then z₃=

3.
Let $z_1$ and $z_2$ be complex numbers such that $z_1 \neq z_2$ and $| z_1| = | z_2 |$ . If Re $(z_1) > 0$ and $Im (z_2) < 0 $ ,then $\frac{z_1+ z_2}{z_1 - z_2}$ is