Let a be two non-zero real numbers. Then the number of elements in the set X = Z C: Re(az^2+bz) = a and Re(bz^2+az) = b is

JEE Main 2023 Mathematics question

Let ab be two non-zero real numbers. Then the number of elements in the set X = {Z: Re() = a and Re() = b} is

Answer: (A)

The source's own working shows the system reduces to x = 0, y² = –1, which has no real solution — so X is empty, n(X)

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Question ID VK-025663