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Question Id : 13350 | Context : JEE Main 2023 (6 April Evening Shift)
Let $a\ne b$ be two non-zero real numbers. Then the number of elements in the set $X=\{\, z\in\mathbb{C} : \operatorname{Re}(a z^{2}+bz)=a \text{ and } \operatorname{Re}(b z^{2}+a z)=b \,\}$ is equal to:


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