The equation of the locus of $z$ such that $\left|\frac{z-i}{z+i}\right|=2$,where $z=x+iy$ is a complex number,is
- A$3x^2+3y^2+10y-3=0$
- B$3x^2+3y^2+10y+3=0$
- C$3x^2-3y^2-10y-3=0$
- D$x^2+y^2-5y+3=0$
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$Z$ is a complex number such that $|Z| \leq 2$ and $-\frac{\pi}{3} \leq \operatorname{amp} Z \leq \frac{\pi}{3}$. The area of the region formed by the locus of $Z$ is (in sq. units)
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