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Question 230022

JEE Mathematics · Easy

Complex Numbers: Mixed MCQ

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MixedEasyQuestion 230022

Question

The sum of a complex number and its conjugate is:

A
Always real
Correct
B
Always imaginary
C
Always zero
D
Always positive

Correct answer

Always real

Explanation

If z = a + bi, then z + z̄ = (a + bi) + (a − bi) = 2a, which is always real.

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