A) ±1
B) ± 2
C) ±3
D) ± 4
Correct Answer: C
Solution :
Given, \[x+iy=\sqrt{-7+24i}\] \[\therefore\] \[x\pm \sqrt{\frac{1}{2}[\sqrt{{{(-7)}^{2}}+{{(24)}^{2}}}-7]}\] \[=\pm \sqrt{\frac{1}{2}[\sqrt{49+576}-7]}\] \[=\pm \sqrt{\frac{1}{2}[25-7]}\] \[=\pm \sqrt{9}=\pm 3\]
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