(i)[3]
When the distance $AB$ equals $13$ units, determine the possible values of $p$.
(ii)[4]
If the line $2x + 3y = 9$ is perpendicular to $AB$, determine the value of $p$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
Point $A$ is at $(p, 1)$, while point $B$ is at $(9, 3p + 1)$, with $p$ fixed as a constant.