Complex Numbers PYQs - Last 5 Years
MHT CET / Mathematics / Algebra / 59 recent questions
MathematicsAlgebra2022-2026
Practice 59 MHT CET Mathematics questions from Complex Numbers. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
59
PYQs on Page
Mathematics / Algebra
2022-2026
Year Range
Based on indexed question metadata
59
Last 5 Years
2022-2026
59
Last 10 Years
2017-2026
Recent Year Trend
2022
2023
2024
2025
2026Latest year
202216 max PYQs/year2026
Question Types
59PYQs
MCQ100%
Difficulty Mix
#1 Unknown59
59 in last 5 years59 in last 10 years
Last 5 Years Complex Numbers Questions
Showing 9 of 59 filtered questions.
1Complex Numbers
The value of \(\frac{\mathrm{i}^{248}+\mathrm{i}^{246}+\mathrm{i}^{244}+\mathrm{i}^{242}+\mathrm{i}^{240}}{\mathrm{i}^{249}+\mathrm{i}^{247}+\mathrm{i}^{245}+\mathrm{i}^{243}+\mathrm{i}^{241}}, (\mathrm{i}=\sqrt{-1})\) is
MCQ+2 / -02023
2Complex Numbers
If \((3 x+2)-(5 y-3) i\) and \((6 x+3)+(2 y-4) i\) are conjugates of each other, then the value of \(\frac{x-y}{x+y}\) is (where \(\left.i=\sqrt{-1}, x, y \in R\right)\)
MCQ+2 / -02023
3Complex Numbers
If \(a > 0\) and \(z=\frac{(1+i)^2}{a+i},(i=\sqrt{-1})\) has magnitude \(\frac{2}{\sqrt{5}}\), then \(\bar{z}\) is equal to
MCQ+2 / -02023
4Complex Numbers
If \(|z-2+i| \leq 2\), then the difference between the greatest and least value of \(|z|\) is ________, \((\mathrm{i}=\sqrt{-1})\)
MCQ+2 / -02023
5Complex Numbers
If \(\mathrm{z}=x+\mathrm{i} y\) and \(\mathrm{z}^{1 / 3}=\mathrm{p}+\mathrm{iq}\), where \(x, y, \mathrm{p}, \mathrm{q} \in \mathrm{R}\) and \(\mathrm{i}=\sqrt{-1}\), then value of \(\left(\frac{x}{\mathrm{p}}+\frac{y}{\mathrm{q}}\right)\)...
MCQ+2 / -02023
6Complex Numbers
If \(x=\frac{5}{1-2 \mathrm{i}}, \mathrm{i}=\sqrt{-1}\), then the value of \(x^3+x^2-x+22\) is
MCQ+2 / -02023
7Complex Numbers
If \(w=\frac{z}{z-\frac{1}{3} i}\) and \(|w|=1, i=\sqrt{-1}\), then \(z\) lies on
MCQ+2 / -02023
8Complex Numbers
The argument of \(\frac{1+i \sqrt{3}}{\sqrt{3}+i}, i=\sqrt{-1}\) is
MCQ+2 / -02023
9Complex Numbers
Let \(z\) be a complex number such that \(|z|+z=3+i, i=\sqrt{-1}\), then \(|z|\) is equal to
MCQ+2 / -02022