Complex Numbers PYQs - Last 5 Years
WB JEE / Mathematics / Algebra / 14 recent questions
MathematicsAlgebra2022-2026
Practice 14 WB JEE Mathematics questions from Complex Numbers. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
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Mathematics / Algebra
2022-2026
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Last 5 Years Complex Numbers Questions
Showing 14 of 14 filtered questions.
1Complex Numbers
Let $Z_1, Z_2$ be the roots of the equation $Z^2+p Z+q=0$, where the coefficients $p$ and $q$ may be complex numbers and also let $A, B$ represent $Z_1, Z_2$ respectively in the complex plane. If $\angle A O B=\alpha \neq 0$ and $O A=O B$, ...
MCQ+2 / -0.52026
2Complex Numbers
The total number of polynomials of the form $x^3+a x^2+b x+c$ which is divisible by $x^2+1$, where $a, b, c \in\{1,2,3, \ldots ., 10\}$ is
MCQ+1 / -0.252026
3Complex Numbers
The expression $\sum_{k=1}^{32}(3 K+2)\left\{\sum_{r=1}^{10}\left(\sin \frac{2 r \pi}{11}-i \cos \frac{2 r \pi}{11}\right)\right\}^k$ represents
MCQ+1 / -0.252026
4Complex Numbers
Let $\omega(\neq 1)$ be a cubic root of unity. Then the minimum value of the set $\left\{\mid a+b \omega+c \omega^2\right\}^2 ; a, b, c$ are distinct non-zero integers} equals
MCQ+1 / -0.252025
5Complex Numbers
If $\left|Z_1\right|=\left|Z_2\right|=\left|Z_3\right|=1$ and $Z_1+Z_2+Z_3=0$, then the area of the triangle whose vertices are $Z_1, Z_2, Z_3$ is
MCQ+2 / -0.52025
6Complex Numbers
If $z_1, z_2$ are complex numbers such that $\frac{2 z_1}{3 z_2}$ is a purely imaginary number, then the value of $\left|\frac{z_1-z_2}{z_1+z_2}\right|$ is
MCQ+1 / -0.252025
7Complex Numbers
If \(\cos \theta+i \sin \theta, \theta \in \mathbb{R}\), is a root of the equation
\(a_0 x^n+a_1 x^{n-1}+\ldots .+a_{n-1} x+a_n=0, a_0, a_1, \ldots . a_n \in \mathbb{R}, a_0 \neq 0,\)
then the value of $$a_1 \sin \theta+a_2 \sin 2 \theta+\l...
\(a_0 x^n+a_1 x^{n-1}+\ldots .+a_{n-1} x+a_n=0, a_0, a_1, \ldots . a_n \in \mathbb{R}, a_0 \neq 0,\)
then the value of $$a_1 \sin \theta+a_2 \sin 2 \theta+\l...
MCQ+1 / -0.252024
8Complex Numbers
If \(z_1\) and \(z_2\) be two roots of the equation \(z^2+a z+b=0, a^2<4 b\), then the origin, \(\mathrm{z}_1\) and \(\mathrm{z}_2\) form an equilateral triangle if
MCQ+1 / -0.252024
9Complex Numbers
If z\(_1\) and z\(_2\) are two complex numbers satisfying the equation \(\left| {{{{z_1} + {z_2}} \over {{z_1} - {z_2}}}} \right| = 1\), then \({{{z_1}} \over {{z_2}}}\) may be
MCQM+2 / -02023
10Complex Numbers
Reflection of the line \(\overline a z + a\overline z = 0\) in the real axis is given by :
MCQ+1 / -0.252023
11Complex Numbers
If the vertices of a square are \({z_1},{z_2},{z_3}\) and \({z_4}\) taken in the anti-clockwise order, then \({z_3} =\)
MCQ+1 / -0.252023
12Complex Numbers
Let z1 and z2 be two non-zero complex numbers. Then
MCQM+2 / -02022
13Complex Numbers
If z = x \(-\) iy and \({z^{{1 \over 3}}} = p + iq(x,y,p,q \in R)\), then \({{\left( {{x \over p} + {y \over q}} \right)} \over {({p^2} + {q^2})}}\) is equal to
MCQ+1 / -0.252022
14Complex Numbers
If \(|z - 25i| \le 15\), then Maximum arg(z) \(-\) Minimum arg(z) is equal to
(arg z is the principal value of argument of z)
(arg z is the principal value of argument of z)
MCQ+1 / -0.252022