Complex Numbers PYQs - Last 10 Years
IAT (IISER) / Mathematics / Algebra / 5 recent questions
MathematicsAlgebra2017-2026
Practice 5 IAT (IISER) Mathematics questions from Complex Numbers. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
5
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Mathematics / Algebra
2020-2026
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4
Last 5 Years
2022-2026
5
Last 10 Years
2017-2026
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4 in last 5 years5 in last 10 years
Last 10 Years Complex Numbers Questions
Showing 5 of 5 filtered questions.
1Complex Numbers
Consider the following sets of points in the complex plane$A = \left\{ \cos\left(\dfrac{2n\pi}{5}\right) + i\sin\left(\dfrac{2n\pi}{5}\right) : n \in \mathbb{Z} \right\}$ and$B = \left\{ \cos\left(\dfrac{2n}{5}\right) + i\sin\left(\dfrac{2n...
MCQ+4 / -12026
2Complex Numbers
Let $z_1, z_2$, and $z_3$ be complex numbers satisfying the following conditions
\(2=\left|2 z_1\right|=\left|z_2-1\right|=\left|z_3+1\right|=\left|\frac{1}{z_1}+\frac{1}{z_2-1}+\frac{1}{z_3+1}\right| .\)
What is the value of $\left|4 z_1...
\(2=\left|2 z_1\right|=\left|z_2-1\right|=\left|z_3+1\right|=\left|\frac{1}{z_1}+\frac{1}{z_2-1}+\frac{1}{z_3+1}\right| .\)
What is the value of $\left|4 z_1...
MCQ+4 / -12025
3Complex Numbers
Consider the following subset of the $X Y$-plane.
\(S=\left\{\left(|z-\mathrm{i} z|,|z|^2\right): \quad z \text { is a complex number }\right\}\)
Which one of the following statements is correct?
\(S=\left\{\left(|z-\mathrm{i} z|,|z|^2\right): \quad z \text { is a complex number }\right\}\)
Which one of the following statements is correct?
MCQ+4 / -12024
4Complex Numbers
Let $\omega$ be a complex root of the quadratic polynomial $x^2+x+1$. The value of
\(\left(\omega+\frac{1}{\omega}\right) \cdot\left(\omega^2+\frac{1}{\omega^2}\right) \cdots\left(\omega^{100}+\frac{1}{\omega^{100}}\right)\)
is
MCQ+4 / -12022
5Complex Numbers
Let $a, b$ be nonzero real numbers. If $p(x)=x^n+c_{n-1} x^{n-1}+\cdots+c_0$, where $c_{n-1}, \ldots, c_0$ are integers and $n \geq 3$, then which of the following statements is correct?
MCQ+4 / -12020