(i)[4]
When $L$ passes through the midpoint of $AB$, find the value of $m$.
(ii)[4]
Find the set of values of $m$ for which $L$ does not meet the curve.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The points $A$ and $B$ are located on the curve $y = x^2 - 4x + 7$. Point $A$ is $(4, 7)$, and $B$ is the stationary point on the curve. The equation of line $L$ is $y = mx - 2$, where $m$ is constant.
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This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correctly differentiates to $\dfrac{dy}{dx}=2x-4$ and obtains $x=2$, $y=3$.” …
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