Chemical Engineering > GATE 2026 > Complex Numbers
Consider the following complex numbers
z1 = r1(cos θ1 + i sin θ1)
z2 = r2(cos θ2 + i sin θ2)
where r1, r2 are real numbers, 0 ≤ θ1 ≤ π/2, 0 ≤ θ2 ≤ π/2, and i = √−1
If |z1 + z2| = |z1| + |z2|, which one of the following conditions is necessarily CORRECT?
z1 = r1(cos θ1 + i sin θ1)
z2 = r2(cos θ2 + i sin θ2)
where r1, r2 are real numbers, 0 ≤ θ1 ≤ π/2, 0 ≤ θ2 ≤ π/2, and i = √−1
If |z1 + z2| = |z1| + |z2|, which one of the following conditions is necessarily CORRECT?
Correct : d
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