A complex Number x + iy is imaginary if?
- y ≠ 0
- y = 0
- x = 0
- None of these
Explanation
A complex number is z = x + iy, where x = real part, y = imaginary part.
1. Purely imaginary → real part is 0, so x = 0. Then z = 0 + iy = iy. Ex: 3i, -5i
2. Imaginary in general just means y ≠ 0. But if a question says "is imaginary" without "purely", they usually mean "not real", so y ≠ 0.
"x + iy is imaginary if x = 0" → purely imaginary.
If they meant "non-real", then condition is y ≠ 0.
Last verified on 09-06-2026
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