Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

A circle is given by $x^2 + y^2 + 4y - 21 = 0$, while a straight line is given by $2x + y - 8 = 0$. These two graphs meet at two points.
(a)[4]

Find the coordinates of the two points where they intersect.

(b)[3]

The circle has centre $C$ and the two points where it meets the line are labelled $A$ and $B$. Find the area of the triangle $ABC$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Substitute for $x$ or $y$ to form a quadratic equation in one variable

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