Interpet the following equations geometrically on the Argand plane.
`|z-1|+|z+1|=4`

Interpet the following equations geometrically on the Argand plane. arg(z+i)-arg(z-i)=(pi)/(2)

Find the equation of the image of the plane x-2y+2z-3=0 in plane x+y+z-1=0.

State true of false for the following: For any complex number, z, the minimum value of |z|+|z-1| is 1.

Find the equation of the plane through the point (1,4,-2) and parallel to the plane -2x+y-3z=7 .

The solution of the equation |z|-z=1+2i is

If z is a complex number in the argand plane, the equation |z-2|+|z+2|=8 represents

Show that the area of the triagle on the argand plane formed by the complex numbers Z, iz and z+iz is (1)/(2)|z|^(2)," where "i=sqrt(-1).

Find the equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5 which is perpendicular to the plane x - y + z = 0.

Find the equation of the plane containing the line of intersection of the plane x + y + z-6 = 0 and 2x + 3y + 4z + 5 = 0 and passing through the point (1, 1, 1).

The equation of the plane passing through the intersection of the planes 2x-5y = z = 3 and x+y+4z = 5 and parallel to the plane x+3y + 6z = 1 is x + 3y + 6z = k is..........