2025 CGSS PRELIMS P2 Q5
2025 CGSS PRELIMS P2 Q5
Secondary 4
10 marks
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 the equation of the circle.[8]
- Find, in exact form, the equations of the tangents to the circle that are parallel to the \(x\)-axis.[2]
Solution:
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Answer:(a) \((x-9)^2+(y-8)^2=50\) (b) \(y=8+5\sqrt{2}\) or \(y=8-5\sqrt{2}\)
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