<p>A tangent to a circle at the point \((4, 3)\) intersects the \(x\)-axis at \(x = 7\). The line with the equation \(3y = 2x + 6\) is normal to the circle at another point.</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Find the equation of the circle.</span><span class="inline-marks">[8]</span></div></li><li><div class="list-item-paragraph">Find, in exact form, the equations of the tangents to the circle that are parallel to the x-axis.<span class="inline-marks">[2]</span></div></li></ol>

A tangent to a circle at the point \((4, 3)\) intersects the \(x\)-axis at \(x = 7\). The line with the equation \(3y = 2x + 6\) is normal to the circle at another point.

Find, in exact form, the equations of the tangents to the circle that are parallel to the x-axis.

2025 CGSS PRELIMS P2 Q5

2025 CGSS PRELIMS P2 Q5