A circle $C_1$ passes through $A(-1, -3)$. Its centre, $B$, lies on the line $4y + 3x = 10$.

Question

A circle $C_1$ passes through $A(-1, -3)$. Its centre, $B$, lies on the line $4y + 3x = 10$. $AB$ is perpendicular to $4y + 3x = 10$. Find the equation of the circle.[5] A second circle $C_2$ has centre at $A(-1, -3)$. The line $y = 0$ is a tangent to circle $C_2$. Find the equation of the circle in the form of $x^2 + y^2 + px + qy + r = 0$, where $p$, $q$ and $r$ are integers.[2]

Accepted Answer

(a)$(x-2)^2+(y-1)^2 =25$ (b)$x^2+y^2+2x+6y+1=0$

2025 MGS PRELIMS P2 Q3

2025 MGS PRELIMS P2 Q3