JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Analyzing +4 | -1

a, b, c, a_1, b_1

and

c_1

are non-zero complex numbers satisfying

\frac{a}{a_1}+\frac{b}{b_1}+\frac{c}{c_1}=1+i

and

\frac{a_1}{a}+\frac{b_1}{b}+\frac{c_1}{c}=0

, where

i=\sqrt{-1}

, the value of

\frac{a^2}{a_1^2}+\frac{b^2}{b_1^2}+\frac{c^2}{c_1^2}

View answer and explanation

Correct option: A

2 i

Option A (

2i

) is correct because by squaring the first equation and using the second equation, the value of the expression can be found.

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