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Let Papoint denoting a comples number z ...

Let Papoint denoting a comples number z on the complex plane.
`i.e." "z=Re(z)+i Im(z)," where "i=sqrt(-1)`
`if" "Re(z)=xand Im (z)=y,then z=x+iy`
If P moves such that
`|Re(z)|+|Im(z)=a(ainR^(+))`
The locus of P is

A

a parallelogram which is not arhombus

B

a rhombus which is not a square

C

a rectangle which is not a square

D

a square

Text Solution

Verified by Experts

The correct Answer is:
d
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