two non-zero Then the number of elements| Complex Number

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JEE MAIN 2023

08-04-2023 S2

Question

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

Select the correct option:

A

1

B

3

D

2

✓ Correct! Well done.

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Solution

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