MHT-CET

Complex Number question bank (Mathematics)

Practice 86 free MHT-CET Mathematics - Complex Number questions with answers and step-by-step solutions.

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Q1.

If $(x+i y)^{1 / 3}=a+i b$ where $x, y, a, b \in R$ and $i=\sqrt{-1}$, then $\frac{x}{a}-\frac{y}{b}=$

(A)

$-2\left(a^2+b^2\right)$

(B)

$2\left(a^2-b^2\right)$

(C)

$a^2-b^2$

(D)

$a^2+b^2$

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Q2.

The value of $\frac{i^{592}+i^{590}+i^{588}+i^{586}+i^{584}}{i^{582}+i^{580}+i^{578}+i^{576}+i^{574}}-1=$

(A)

$-1$

(B)

$-2$

(C)

$-3$

(D)

$-4$

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