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Complex Numbers question

2023 · 6 Apr · Shift 2 · Q27

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2023 · 6 Apr · Shift 2 · Q27

Complex Numbers question

2023 · 6 Apr · Shift 2 · Q27

JEE MainMathematicsComplex NumbersMCQ+4 / −1

Let

a eq b

be two non-zero real numbers. Then the number of elements in the set

X=\left\{z \in \mathbb{C}: \operatorname{Re}\left(a z^{2}+b z\right)=a\right.

and

\left.\operatorname{Re}\left(b z^{2}+a z\right)=b\right\}

is equal to :

A
0
B
2
C
1
D
Infinite

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