If z = x + iy, show that the locus represented by |z - 3 |= |z + 6 |is a straight line

Similar Questions

Explore conceptually related problems

If z be a complex number, show that the minimum value of |z| + |z - 1| is 1.

What is the angle between the planes x + y + 2z = 6 and 2x - y - z =9 ?

Solve the following equations and check you results. 4z + 3 = 6 + 2z

If x = 10 , y = 64, and z = 2, then prove that (x+y+z)^3 = 438976

Factorise the following expressions. -16z + 20z^3

Solve 4x -8le12 when x in Z In case of (if) represent the solutions on the real number line.

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