Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

At the point $P$ on the curve, the line $4y = x + c$, with $c$ constant, touches the curve $y^2 = x + 3$ as a tangent.

((i))[3]

Find the value obtained for $c$.

((ii))[2]

Find the coordinates for $P$.

(i)[3]

Find the value obtained for $c$.

(ii)[2]

Find the coordinates for $P$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme.