The point P denotes the complex number z=x+i y in the Argand plane. If \frac{2 z-i}{z-2} is a purely real number, then the equation of the locus of P is [TG EAPCET 9 May 2024 Shift 1]

Correct Answer is : x+4y−2=0&(x,y)≠(2,0)

Complex Numbers

Section: Mathematics

Question : 17 of 19

Marks: +1, -0

The point P denotes the complex number z=x+iy in the Argand plane. If ‌

2z−i

z−2

is a purely real number, then the equation of the locus of P is

[TG EAPCET 9 May 2024 Shift 1]

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