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Find the values for $a$ and $b$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
For the line $\frac{x}{a} + \frac{y}{b} = 1$, with $a$ and $b$ taken as positive constants, the $x$- and $y$-intercepts are $A$ and $B$ respectively. The midpoint of $AB$ is on the line $2x + y = 10$, and $AB = 10$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Gives $M\left(\frac{a}{2},\frac{b}{2}\right)$ as the midpoint.” …
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