Let z=x+i y and P(x, y) be a point on the argand plane. If z satisfies the condition \arg (\frac{z-3 i}{z+2 i}) =\frac{\pi}{4}, then the locus of P is

Correct Answer is : x2+y2+5x−y−6=0,(x,y)≠(0,−2)

x^2+y^2-y-6=0,(x, y) \neq(0,-2)

x^2+y^2-x-y-6=0,(x, y) \neq(0,-2)

x^2+y^2+5 x-y-6=0,(x, y) \neq(0,-2)

x^2+y^2+x-y-6=0,(x, y) \neq(0,-2)

TG EAMCET 2 May 2025 Shift 1 Paper

Question : 9 of 160

Marks: +1, -0

Let z=x+iy and P(x,y) be a point on the argand plane. If z satisfies the condition arg(‌

z−3i

z+2i

)=‌

, then the locus of P is

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