Question

if $|z+1{|}^2+|z{|}^2=4$, then the locus of $z$ is

• A. Straight line
• B. Circle with radius $\frac{7}{4}$
• C. Parabola
• D. Circle with radius $\frac{\sqrt{7}}{2}$

Answer 1

Answer: (D)

Put $z=x+iy$
$\Rightarrow (x+1{)}^2+y^2+x^2+y^2=4$
$\Rightarrow 2x^2+2y^2+2x-3=0$