A) 15
B) 25
C) - 25
D) None of these
Correct Answer: B
Solution :
\[\sqrt{-7-24i}=x-iy\] Squaring both sides, \[-7-24i={{x}^{2}}-{{y}^{2}}-i(2xy)\] Equating real and imaginary parts, we get \[{{x}^{2}}-{{y}^{2}}=-7\]and \[2xy=24\] \[\therefore \,\,\,{{x}^{2}}+{{y}^{2}}=\sqrt{49+576}=\sqrt{625}=25\]
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