Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The points $P$ and $Q$ have coordinates $(1, 1)$ and $(7, 11)$, respectively. The line segment $PQ$ is a diameter of a circle.
(a)[4]
Find the equation for the circle.
(b)[3]
Find the equation for the tangent to the circle at point $Q$.
(c)[4]
The point on the circle with $x$-coordinate $7$ other than $Q$ is $R$. Find the coordinates of the intersection of the tangent at $Q$ and the tangent at $R$.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The centre is $(4,6)$.” …