MAH CET MCA Complex Number Previous Year Questions (PYQs)
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Showing 3 questions
$a = z^2 + z + 1$ where $z$ be the complex polarizing number, then what is not the value of $a$?
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Solution
Let $z = e^{i\theta}$,
then $a = 1 + e^{i\theta} + e^{2i\theta} = \dfrac{\sin(3\theta/2)}{\sin(\theta/2)} e^{i\theta}$.
After simplification, the value $\dfrac{1}{3}$ is not possible.
$1 + i,\ 3 + 2i,\ 5 + 3i$ then the points are
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Solution
All points lie on line $y = x - 1$.
Hence, points are collinear.
$i^i = \ ?$
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Solution
We know that $i = e^{i\pi/2}$.
$\Rightarrow i^i = (e^{i\pi/2})^i = e^{-\pi/2}$.
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