TG EAMCET 4 May 2025 Shift 1 Paper

Question : 9 of 160

Marks: +1, -0

Let z=x+iy represent a point of P(x,y) in the argand plane. If z satisfies the condition that amplitude of ‌

z−3

z−2i

=−‌

then the locus of P is

the circle x2+y2−3x−2y=0.
the arc of the circle x2+y2−3x−2y=0 intercepted by the diameter 2x+3y−6=0 containing the origin and excluding the points (3,0) and (0,2).
the arc of the circle x2+y2−3x−2y=0 intercepted by the diameter 2x+3y−6=0 not containing the origin and excluding the points (3,0) and (0,2).
the circle x2+y2−3x−2y=0 not containing the point (0,2).

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