Two points $ A(-3,-6) $ and $ B (7,-6) $ lie on a circle centre $ G$. The equation of the tang

Question

Two points $ A(-3,-6) $ and $ B (7,-6) $ lie on a circle centre $ G$. The equation of the tangent to the circle at the point $ Q(1,-12) $ is $x+5y+59=0$. Show that the coordinates of $G$ is $ (2,-7) $[5] Find the equation of the circle in the form of $x^2+y^2+2gx+2fy+c=0$, stating the value of $f$, $g$ and $c$.[3]

Accepted Answer

(a) $G=(2,-7)$ (b) $x^2+y^2-4x+14y+27=0$, $g=-2$, $f=7$, $c=27$

2025 MSHS PRELIMS P2 Q7

2025 MSHS PRELIMS P2 Q7

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