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Question

If z=21+i3, then the value of arg(z) is 



A

π

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B

π3

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C

2π3

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D

π4

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Solution

The correct option is C

2π3


z=21+i3Rationalising z, we get,z=21+i3×1i31i3 z=2+i231+3 z=1+i32 z=12+i32tan α =Im(z)Re(z)=3 α=π3

Since, z lies in the second quadrant.

Therefore, arg (z) = ππ3=2π3


Mathematics
RD Sharma
Standard XI

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