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

If z is a complex number,show that |z|^(2)=|z^(2)|

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

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

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

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

If z is any complex number which satisfies |z-2|=1, then show that sin(argz)=((z-1)(z-3)i)/(2|z|(2-z))