JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1

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}+b z\right)=a\right.

and

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

is equal to

View answer and explanation

Correct option: A

Option A (0) is correct because the given equations lead to an impossible condition, indicating no solution for z.

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