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If z is a purely real complex number suc...

If z is a purely real complex number such that `"Re"(z) lt 0`, then, arg(z) is equal to

A

`pi`

B

`pi//2`

C

0

D

`-pi//2`

Text Solution

Verified by Experts

The correct Answer is:
A

Let `z=a+i0`, where `a lt 0`. Then, z is represented by a point on the negative side of x-axis.
`therefore` arg(z)=`pi`.
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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Chapter Test
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  13. |{:("6i " "-3i " "1" ),("4 " " 3i" " -1"),("20 " "3 " " i"):}|=x+iy th...

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  17. Sum of the series sum(r=0)^n (-1)^r ^nCr[i^(5r)+i^(6r)+i^(7r)+i^(8r)] ...

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  19. If 2z1-3z2 + z3=0, then z1, z2 and z3 are represented by

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  21. The vertices of a square are z1,z2,z3 and z4 taken in the anticlockwis...

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