(a)[4]
Given that $p < 10$, determine the value of $p$.
(b)[3]
Find the equation for the circle.
(c)[3]
Find the equation of the tangent to the circle at $C$, and give your answer in the form $dx + ey + f = 0$, where $d$, $e$ and $f$ are integers.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The points $A$, $B$ and $C$ have coordinates $(6, 4)$, $(p, 7)$ and $(14, 18)$, respectively, where $p$ is a constant. The line $AB$ is perpendicular to the line $BC$.