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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
If x+iy=a+ibc+idx+i y=\sqrt{\frac{a+i b}{c+i d}}, then (x2+y2)2(c2+d2)\left(x^2+y^2\right)^2\left(c^2+d^2\right) equals
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Correct option: A
a2+b2a^2+b^2
Option A (a2+b2a^2+b^2) is correct because it follows from taking the modulus of both sides of the equation and simplifying.

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