(a)[2]
Show that $l$ is the tangent line to the circle at $A$.
(b)[3]
Find the equation of the other circle with radius $\sqrt{52}$ for which $l$ is also the tangent at $A$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
Point $A$ is located at $(1, 5)$, and line $l$ passes through $A$ with gradient $-\frac{2}{3}$. The circle is centred at $(5, 11)$ and has radius $\sqrt{52}$.
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