If \[z=x+iy\] and \[arg\,\left( \frac{z-2}{z+2} \right)=\frac{\pi }{6}\], then locus of z is [RPET 2002]

If \[z=x+iy\] and \[arg\,\left( \frac{z-2}{z+2} \right)=\frac{\pi }{6}

1.	If \[z=x+iy\] and \[arg\,\left( \frac{z-2}{z+2} \right)=\frac{\pi }{6}\], then locus of z is [RPET 2002]
A.	A straight line
B.	A circle
C.	A parabola
D.	An ellipse
Answer» C. A parabola

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If \[z=x+iy\] and \[arg\,\left( \frac{z-2}{z+2} \right)=\frac{\pi }{6}\], then locus of z is [RPET 2002]

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