JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

Z_1=\frac{1}{a+i}, a \neq 0

and

Z_2=\frac{1}{1+\mathrm{bi}} \quad b \neq 0

such that

Z_1=\bar{Z}_2

then

View answer and explanation

Correct option: C

\mathrm{a}=1, \mathrm{~b}=-1

Option C (a=1, b=-1) is correct because it satisfies the condition Z1 = conjugate(Z2) by equating real and imaginary parts.

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