The highest point on a circle $C_1$ is $(2, 8)$. The equation of the tangent, $T$, to $C_1$

Question

The highest point on a circle $C_1$ is $(2, 8)$. The equation of the tangent, $T$, to $C_1$ at the point $(6, 6)$ is $3y + 4x = 42$. Find the equation of $C_1$.[6] A second circle, $C_2$, is the reflection of $C_1$ in the line $T$. Find the equation of $C_2$.[3]

Accepted Answer

(a) $C_1:(x-2)^2+(y-3)^2=25$ (b) $C_2:(x-10)^2+(y-9)^2=25$

2025 SCGS PRELIMS P1 Q8

2025 SCGS PRELIMS P1 Q8

Solution:

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