Mathematics 9709 · AS & A Level · Coordinate geometry

Coordinate geometry — practice question

The points $A(-1, 1)$ and $P(a, b)$ are given, where $a$ and $b$ are constants. The gradient of $AP$ is $2$.

(i)[2]

Express $b$ in terms of $a$.

(ii)[6]

A third point is $B(10, -1)$ such that $AP = AB$. Calculate the coordinates of the possible positions of $P$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct gradient equation $(b-1)/(a+1)=2$” …