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If `z_1 and z_2` are two non zero` complex number such that`|z_1+z_2|=|z_1|+|z_2|` then `arg z_1-argz_2` is equal to (A) `- pi/2` (B) `0` (C) `-pi` (D) `pi/2`

A

`-pi`

B

`-pi/2`

C

0

D

`pi/2`
`pi`

Text Solution

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A DAS GUPTA-COMPLEX NUMBERS-EXERCISE
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  2. If |z1|= |z2|=1 and amp z1+ampz2=0 then

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  3. If z1 and z2 are two non zero complex number such that|z1+z2|=|z1|+|z2...

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  4. The inequality |z+2| lt |z-2| represents the region given by

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  5. Let z1 and z2 be complex numbers of such that z1!=z2 and |z1|=|z2|. I...

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  6. If z1=aib and z2=c+id are complex numbes such that |z1|=|z2|=1 and Re(...

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  7. if |z1|= |z2| ne 0 and amp (z1)/(z2)=pi then

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  8. If z1 and z2 are two nonzero complex numbers such that |z1-z2|=|z1|-|z...

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  9. If z1,z2 are nonreal complex and |(z1+z2)/(z1-z2)|=1 then (z1)/(z2) is

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  10. If z=2+3i, then |z^2|^3 is equal to

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  11. The equation z^5+z^4+z^3+z^2+z+1=0 is satisfied by

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  12. The points, z1,z2,z3,z4, in the complex plane are the vartices of a pa...

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  13. If z^4= (z-1)^4 then the roots are represented in the Argand plane by...

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  14. If |z1 |=|z2|=|z3| = 1 and z1 +z2+z3 =0 then the area of the triangle ...

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  15. In the Argand plane |(z-i)/(z+i)| = 4 represents a

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  16. Suppose z1 + z2 + z3 + z4=0 and |z1| = |z2| = |z3| = |z4|=1. If z1, z2...

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  17. If arg (z-z1)/(z2-z1) = 0 for three distinct complex numbers z,z1,z2 ...

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  18. The complex numbers z=x+iy which satisfy the equation |(z-5i)/(z+5i)|=...

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  19. The locus of the points z satisfying the condition arg ((z-1)/(z+1))=p...

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  20. If a r g((z-2)/(z+2))=pi/4 then the locus of z is

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