JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Analyzing +4 | -1

Let

S=\left\{z=x+i y: \frac{2 z-3 i}{4 z+2 i}\right.

is a real number

\}

. Then which of the following is NOT correct?

View answer and explanation

Correct option: B

(x, y)=\left(0,-\frac{1}{2}\right)

Option B

((x, y) = (0, -\frac{{1}}{{2}}))

is correct because when

x = 0

and

y = -\frac{{1}}{{2}}

, the denominator of the expression becomes zero, making the expression undefined, thus it is not a real number.

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