Suppose z=x+iy where x and y are real nu...

Suppose `z=x+iy` where x and y are real numbers and `i=sqrt(-1)` . The points (x ,y) for which `(z-1)/(z-i)` is real . Lie om -

A

an ellipse

B

a circle

C

a parabola

D

a straight line

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

Suppose z=x+iy where x and y are real numbers and i=sqrt(-1) the points (x,y) for which (z-1)/(z-i) is real lie on

Let z=x+iy , where x and y are real. The points (x,y) in the xy-plane of which (z+1)/(z-1) is purely imaginary, lie on

If x , y are real and x+iy=-i(-2+3i) , then (x , y) is -

If x ,y and z are positive real umbers and x=(12-yz)/(y+z) . The maximum value of x y z equals.

Find the real numbers x and y if (x-iy)(3+5i) is the conjugate of -6-24i.

Let (-2 -1/3 i)^3=(x+iy)/27 (i= sqrt(-1)) where x and y are real numbers then y-x equals

Find the real numbers x and y if (x-iy) (3+5i) is the conjugate of -6 - 24 i .

x.and y are- real and if x + iy.= 5/(-3+4i) ,find the value of x and y.

If x,y are real and x+iy=(5)/(-3+4i) find x and y .

The locus of z=x+iy satisfying |(z-i)/(z+i)|=1