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If `z_(z), z_(2)` are two non-zero complex numbers satisfying `|z_(2)+z_(2)|=|z_(1)|+|z_(2)|`, show that Arg `z_(1)`- Arg `z_(2)=0`

A

`-pi`

B

`pi`

C

`0`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
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  9. If z and omega are two non-zero complex numbers such that |zomega| =1...

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  10. If z is a complex number of unit modulus and argument theta then, arg ...

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  13. If sqrt(x+ iy) = pm (a + ib) then sqrt(x-iy) =

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  14. (1 - omega) (1 - omega^(2)) (1 - omega^(4)) (1 - omega^(5)) (1 - omega...

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  15. If omega is a imaginary cube root of unity , then 225 + (3 omega + 8 o...

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  16. (1 - omega + omega^(2)) ( 1 - omega^(2) + omega^(4)) ( 1- omega^(4) + ...

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  17. If omega is a complex cube root of unity , then (x + 1) ( x + omega) (...

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  18. If 1 , omega , omega^(2) are the cube roots of unity , then (x + y + z...

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