" iii) "z=x+iy+x_(1)|2z-1|=|z-2|=8+y+y=1

If z=x+iy and |2z-1|=|z-2|," prove that" " " x^(2)+y^(2)=1.

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

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

If z=x+iy and |2z+1|=|z-2i|,then prove that 3(x^2+y^2)+4(x+y)=3

If z=x+iy and |2z+1|=|z-3| ,then show that 3x^2+3y^2+10x=8 .

If z=x+iy and |z-1|+|z+1|=4 show that 3x^(2)+4y^(2)=12

If z=x+iy and |z-1|+|z+1|=4, "show that" 3x^(2)+4y^(2)=12 (i=sqrt(-1)).

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

For x_(1), x_(2), y_(1), y_(2) in R if 0 lt x_(1)lt x_(2)lt y_(1) = y_(2) and z_(1) = x_(1) + i y_(1), z_(2) = x_(2)+ iy_(2) and z_(3) = (z_(1) + z_(2))//2, then z_(1) , z_(2) , z_(3) satisfy :