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Question

If (724i)1/2=x-iy, then x2+y2=


A

15

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B

25

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C

-25

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D

None of these

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Solution

The correct option is B

25


724i=x-iy

Squaring both sides, -7-24i=x2-y2-i(2xy)

Equating real and imaginary parts,we get

x2-y2=-7 And 2xy=24

x2+y2= 49+576=625=25


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