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Complex Number question bank (Mathematics)

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Q1.

If $(x-i y)(3+5 i)$ is the conjugate of $-6-24 i$ (where $x, y \in R$ and $i=\sqrt{-1})$, then the value of $x$ and $y$ are respectively

(A)

5,3

(B)

$5,-3$

(C)

$-3,3$

(D)

$3,-3$

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Q2.

If amplitude of $(z-2-3 i)$ is $\frac{3 \pi}{4}$, then locus of $z$ is (where $\mathrm{z}=\mathrm{x}+$ iy)

(A)

$x+y=1$

(B)

$x+y=5$

(C)

$x-y=-5$

(D)

$x-y=1$

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