TS EAMCET · Maths · Complex Number
The points in the set \(\left\{z \in C: \arg \left(\frac{z-2}{z-6 i}\right)=\frac{\pi}{2}\right\}\) (where \(C\) denotes the set of all complex numbers) lie on the curve which is a
- A circle
- B pair of lines
- C parabola
- D hyperbola
Answer & Solution
Correct Answer
(A) circle
Step-by-step Solution
Detailed explanation
Given that, \(\arg \left(\frac{z-2}{z-6 i}\right)=\frac{\pi}{2}\) \[ \therefore \quad \arg (z-2)-\arg (z-6 i)=\frac{\pi}{2} \] Let \(z=x+i y\)…
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