MHT-CET

4-1.Complex numbers question bank (Mathematics)

Practice 95 free MHT-CET Mathematics - 4-1.Complex numbers questions with answers and step-by-step solutions.

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Q1.

If $z=x+iy$ and $z^{1/3}=p+iq$,where $x, y, p, q \in R$ and $i=\sqrt{-1}$,then the value of $\left(\frac{x}{p}+\frac{y}{q}\right)$ is

(A)

$p^2-q^2$

(B)

$4(p^2-q^2)$

(C)

$p^2+q^2$

(D)

$4(p^2+q^2)$

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Q2.

If $x = -2 + \sqrt{-3}$,then the value of $2x^4 + 5x^3 + 7x^2 - x + 38$ is equal to

(A)

$1$

(B)

$-2$

(C)

$3$

(D)

$5$

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