If z₁,z₂ are non-zero with |z₁+z₂|=|z₁|+|z₂|, then arg z₁-arg z₂ equals (a) -π (b) - 2 (c) 0 (d) 2

Correct answer: (c) 0 Equality in the triangle inequality means z₁,z₂ are co-directional, so arg z₁-arg z₂=0. JEE Advanced 1987 · Complex Numbers — verified solution by the Vidaara Team.

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[JEE Advanced 1987] if z 1 z 2 are non zero with z 1 z 2 z

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If $z_1,z_2$ are non-zero with $|z_1+z_2|=|z_1|+|z_2|$, then $\arg z_1-\arg z_2$ equals

(a) $-\pi$
(b) $-\frac\pi2$
(c) $0$
(d) $\frac\pi2$

1 Answer

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 2d ago ▲ 0

Correct answer: (c) $0$

Equality in the triangle inequality means $z_1,z_2$ are co-directional, so $\arg z_1-\arg z_2=0$.

JEE Advanced 1987 · Complex Numbers — verified solution by the Vidaara Team.

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