If \( x+i y=\sqrt{\frac{a+i b}{c+i d}} \), then \( \left(x^{2}+y^{2}\right)^{2}\left(c^{2}+d^{2}....
If \( x+i y=\sqrt{\frac{a+i b}{c+i d}} \), then \( \left(x^{2}+y^{2}\right)^{2}\left(c^{2}+d^{2}\right) \) equals
\( \mathrm{P} \)
(1) \( a^{2}+b^{2} \)
(2) \( \sqrt{a^{2}+b^{2}} \)
(3) \( \frac{a^{2}+b^{2}}{c^{2}+d^{2}} \)
(4) \( \sqrt{\frac{a^{2}+b^{2}}{c^{2}+d^{2}}} \)
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