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MAH CET MCA Previous Year Questions (PYQs)

MAH CET MCA Complex Number PYQ

MAH CET MCA PYQ
$a = z^2 + z + 1$ where $z$ be the complex polarizing number, then what is not the value of $a$?





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2023 PYQ

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.
MAH CET MCA PYQ
$1 + i,\ 3 + 2i,\ 5 + 3i$ then the points are





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2023 PYQ

Solution

All points lie on line $y = x - 1$. Hence, points are collinear.
MAH CET MCA PYQ
$i^i = \ ?$





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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2023 PYQ

Solution

We know that $i = e^{i\pi/2}$. $\Rightarrow i^i = (e^{i\pi/2})^i = e^{-\pi/2}$.

MAH CET MCA

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