(a)[6]
Find the coordinates of $P$, with the $y$-coordinate written in terms of $m$.
(b)[4]
The normal to the curve at $P$ meets the curve again at $Q$. Find the coordinates of $Q$ in terms of $m$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The point $P$ is on the line whose equation is $y = mx + c$, where $m$ and $c$ are positive constants. A curve is given by $y = -\tfrac{m}{x}$. There is one point $P$ on the curve for which the straight line is tangent to the curve at $P$.