The complex numbers \[z=x+iy\] which satisfy the equation \[\left| \frac{z-5i}{z+5i} \right|=1\] lie on [IIT 1982]

A circle passing through the origin

The complex numbers \[z=x+iy\] which satisfy the equation \[\left| \fr

1.	The complex numbers \[z=x+iy\] which satisfy the equation \[\left\| \frac{z-5i}{z+5i} \right\|=1\] lie on [IIT 1982]
A.	Real axis
B.	The line \[y=5\]
C.	A circle passing through the origin
D.	None of these
Answer» B. The line \[y=5\]

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The complex numbers \[z=x+iy\] which satisfy the equation \[\left| \frac{z-5i}{z+5i} \right|=1\] lie on [IIT 1982]

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