Let S = {z = x + iy : (2z − 3i)... | JEE Main 2023

JEE MAIN 2023

10-4-2023 S2

Question

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?

Select the correct option:

$y+x^2+y^2 \neq \frac{1}{4}$

$x=0$

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

$y \in\left(-\infty,-\frac{1}{2}\right) \cup\left(-\frac{1}{2}, \infty\right)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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