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Question

Let z1 and z2 be two non-zero complex numbers such that |z1|+|z2|=|z1+z2|. STATEMENT-1 : amp (z1) = amp (z2)
and
STATEMENT-2 : In complex plane z1,z2 and the origin must be collinear.

A
Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1
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B
Statement-1 is False, Statement-2 is True
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C
Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
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D
Statement-1 is True, Statement-2 is False
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Solution

The correct option is A Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1
|z1|+|z2|=|z1+z2| implies z1,z2 are origin are collinear with z1 and z2 on the same side of O.

Both Statement-1 and Statement-2 are true but Statement-2 doesn’t fully explain Statement-1. Hence answer is (2).

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