If (a+bi)² is purely real and a ≠ 0, then relation between a and b is?
- a = 0
- b = 0
- b = ±
- None of these
Explanation
(a + bi)² = a² - b² + 2abi
Purely real means imaginary part = 0
So 2ab = 0
Given a ≠ 0, then b = 0
Last verified on 06-05-2026
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