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Complex Numbers

p + iq = 2 - ...

Question

$p + i q = (2 - 3 i) (4 + 2 i)$ then $q$ is

14

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- 14

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- 8

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8

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Solution

The correct option is D $- 8$
$p + i q = (2 - 3 i) (4 + 2 i)$
$= (8 + 4 i - 12 i + 6)$
$= 14 - 8 i$
Hence comparing the real parts give us $p = 14$ and comparison of the imaginary parts give us $q = - 8$ .

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