Let a ≠ b be two non-zero real numbers. Then the number of elemen… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 6 April, Shift 2Complex Numbers Basics

Let $a \neq b$ be two non-zero real numbers. Then the number of elements in the set $X = \{z \in \mathbb{C}: \Re(a z^2 + b z) = a \text{ and } \Re(b z^2 + a z) = b\}$ is equal to:

A
$0$
B
$2$
C
$1$
D
$3$

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