Amit M Agarwal Solutions for Chapter: Complex Numbers, Exercise 5: Target Exercises

If $Re\left(\frac{z+2i}{z+4}\right)=0,$ then $z$ lies on a circle with centre

If $Im\left(\frac{z+2i}{z+2}\right)=0$ then $z$ lies on the curve

In the argand plane, all the complex numbers satisfying $\left|z-4i\right|+\left|z+4i\right|=10$ lie on

If $z=x+iy$ and $a$ is a real number such that $\left|z-ai\right|=\left|z+ai\right|$ then locus of $z$ is

If $P$ represents $z=x+iy$ in the argand plane and ${\left|z-1\right|}^2+{\left|z+1\right|}^2=4,$ then the locus of $P$ is

All the roots of the equation $a_1{z}^3+a_2{z}^2+a_{3}z+a_4=3$, where $\left|a_i\right|\le 1$, $i=1,2,3,4$ lie outside the circle with centre origin and radius

The region of argand diagram defined by $\left|z-1\right|+\left|z+1\right|\le 4$ is

The locus of the complex number $z$ in an Argand plane satisfying the inequality where ${\log }_{\frac{1}{2}}\left(\frac{\left|z-1\right|+4}{3\left|z-1\right|-2}\right)>1$ $\left[\text{Where} ,\left|\mathrm{z}-1\right|\ne \frac{2}{3}\right]$ is