If z=x+iy and `|z-3|/|z+3|=2,` find the position of the point z in the Argand diagram.

If z=x+iy and |z-1|^(2)+|z+1|^(2)=4, determine the position of the point z in the complex plane.

If abs(z)gt1 then find the position of the complex no. of z in argand plane.

If z=x+iy and |2z-1| =|z-2|then prove that x^2+y^2=1

If z=x+iy and (z-i)/(z+1) is purely imaginary,then show that the point z always lies on a circle.

If z is a complex number such taht z^2=( barz)^2, then find the location of z on the Argand plane.

If z=x+iy and |z+6|=|2z+3|, porve that x^(2)+y^(2)=9.

If z=x+iy and |z-1|+|z+1|=4,then show that 3x^2+4y^2=12 ,where i=sqrt-1

If z_1, z_2, z_3, z_4 are the affixes of four point in the Argand plane, z is the affix of a point such that |z-z_1|=|z-z_2|=|z-z_3|=|z-z_4| , then z_1, z_2, z_3, z_4 are

If (log)_(sqrt(3))((|z|^2-|z|+1)/(2+|z|))>2, then locate the region in the Argand plane which represents zdot

The locus of z=x+iy satisfying |(z-i)/(z+i)|=3 then find the radious of the circle