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If $x + i y = \sqrt{\frac{a + i b}{c + i d}},$ then ${(x^{2} + y^{2})}^{2} (c^{2} + d^{2})$ equal

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detailed solution

Correct option is A

(x+iy)2(c+id)=a+ib⇒(x+iy)2|c+id|=|a+ib|⇒|x+iy|2|c+id|=|a+ib|⇒x2+y2c2+d2=a2+b2

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If x+iy=a+ibc+id, then x2+y22c2+d2 equal

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If $x + i y = \sqrt{\frac{a + i b}{c + i d}},$ then ${(x^{2} + y^{2})}^{2} (c^{2} + d^{2})$ equal