A circle has centre $C(2,-1)$ and radius $5$. A line passes through the point $P(4,2)$ and is perpendicular to the line joining $C$ to $Q(7,5)$. Find the coordinates of the point where this line meets the circle in the first quadrant.

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(131+5√409)/34 , (71-3√409)/34

Igcse Model Questions Vol1 2025 Mathematics Question 24

A circle has centre \(C(2,-1)\) and radius \(5\). A line passes through the point \(P(4,2)\) and is perpendicular to the line joining \(C\) to \(Q(7,5)\). Find the coordinates of the point where this line meets the circle in the first quadrant.

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