<p>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 \(3y + 4x = 42\).</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Find the equation of \(C_1\).</span><span class="inline-marks">[6]</span></div></li><li><div class="list-item-content"><span class="list-item-text">A second circle, \(C_2\), is the reflection of \(C_1\) in the line \(T\). Find the equation of \(C_2\).</span><span class="inline-marks">[3]</span></div></li></ol>

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 \(3y + 4x = 42\).

A second circle, \(C_2\), is the reflection of \(C_1\) in the line \(T\). Find the equation of \(C_2\).

2025 SCGS PRELIMS P1 Q8

2025 SCGS PRELIMS P1 Q8