TS EAMCET · Maths · Complex Number
If a point \(P\) denotes the complex number \(z=x+\) iy in the Argand plane and if \(\frac{z-(2+i)}{z+(1-2 i)}\) is purely real, then the locus of \(\mathrm{P}\) is
- A the line \(x+3 y-5=0\) excluding the point \((-1,2)\)
- B the circle \(x^2+y^2-x-3 y=0\) excluding the point \((-1,2)\)
- C the line \(x+3 y-5=0\) and the circle \(x^2+y^2-x-3 y\) \(=0\) excluding the point \((-1,2)\)
- D the circle \(x^2+y^2-2 x-6 y+5=0\) excluding the point \((-1,2)\)
Answer & Solution
Correct Answer
(A) the line \(x+3 y-5=0\) excluding the point \((-1,2)\)
Step-by-step Solution
Detailed explanation
\(\frac{Z-(2+i)}{Z+(1-2 i)}\) \(Z\) is purely real…
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