The complex numbers z = x + iy which satisfy the equation | z-5 i z+5 i |=1, lie on
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
The complex numbers z = x + iy which satisfy the equation \(\left|\frac{z-5 i}{z+5 i}\right|=1,\) lie on
- the x-axis
- the straight line y = 5
- a circle passing through the origin
- None of these
Answer
(A) the x-axis
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