If a point {\P} denotes the complex number z=x+i y in the Argand plane and if \frac{z-(2+i)}{z+(1-2 i)} is purely real, then the locus of {\P} is [TG EAPCET 13 May 2023 Shift 1]

Correct Answer is : the line x+3y−5=0 excluding the point (−1,2)

the line x+3 y-5=0 excluding the point (-1,2)

the circle x^2+y^2-x-3 y=0 excluding the point (-1,2)

the line x+3 y-5=0 and the circle x^2+y^2-x-3 y=0 excluding the point (-1,2)

the circle x^2+y^2-2 x-6 y+5=0 excluding the point (-1,2)

TS EAMCET Engineering 13 May 2023 Shift 1 Solved Paper

Section: Mathematics

Question : 10 of 160

Marks: +1, -0

If a point P denotes the complex number z=x+iy in the Argand plane and if ‌

z−(2+i)

z+(1−2i)

is purely real, then the locus of P is

[TG EAPCET 13 May 2023 Shift 1]

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