Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The circle is given by the equation $x^2 + y^2 - 4x + 6y - 77 = 0$.

(a)[2]

Determine the $x$-coordinates of the points $A$ and $B$ where the circle cuts the $x$-axis.

(b)[6]

Determine the point where the tangents to the circle at $A$ and $B$ meet.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “With $y=0$, this gives $x^2-4x-77=0$” …