MHT-CET

4-1.Complex numbers question bank (Mathematics)

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Q1.

The value of $(1+i)^5(1-i)^7$ is:

(A)

$64$

(B)

64i

(C)

64i

(D)

$64$

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Q2.

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

(A)

$-2(a^2+b^2)$

(B)

$2(a^2-b^2)$

(C)

$a^2-b^2$

(D)

$a^2+b^2$

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