If `z` is any complex number such that `|3z-2|+|3z+2|=4` , then identify the locus of `zdot`

If z be any complex number such that |3z-2|+|3z+2|=4 , then show that locus of z is a line-segment.

If z is a complex number such that |z - barz| +|z + barz| = 4 then find the area bounded by the locus of z.

If zis a complex number,then |3z-1|=3|z-2| represents

If z is a any complex number such that |z+4|le3, find the greatest value of |z+1|.

Statement - 1 : If for any complex number z, |z-2|+|z-3|=4 , then are bounded by the locus of z is 3pi sq. units. Statement -2 : If |z-a| + |z-b|= |b-a| , then locus of z will be line segment joining a and b.

If z=x+iy is a complex number satisfying |z+(i)/(2)|^(2)=|z-(i)/(2)|^(2), then the locus of z is

In z is a complex number stisfying |2008z-1|= 2008|z-2|, then locus z is

If z_1,z_2,z_3 are complex number , such that |z_1|=2, |z_2|=3, |z_3|=4 , the maximum value |z_1-z_2|^(2) + |z_2-z_3|^2 + |z_3-z_1|^2 is :