If $x + iy = \sqrt {\frac{{a + ib}}{{c + id}}} $, then ${x^2} + {y^2}$ is equal to

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

x + iy = \sqrt {\frac{{a + ib}}{{c + id}}}

, then

{x^2} + {y^2}

is equal to

View answer and explanation

Correct option: D

None of these

None of these is the correct answer. The correct answer is

\sqrt{\frac{{{a^2} + {b^2}}}{{{c^2} + {d^2}}}}

because by taking the modulus squared of both sides of the equation, we can find

{x^2} + {y^2}

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