(i)[3]
Express, in terms of $a$, the gradient of a line that is perpendicular to $AB$.
(ii)[4]
If the distance $AB$ is $\sqrt{260}$, determine the possible values of $a$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
$A$ denotes the point $(a, 2a - 1)$, while $B$ denotes the point $(2a + 4, 3a + 9)$, where $a$ is a constant.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct approach for the gradient, $m = \dfrac{3a + 9 - (2a - 1)}{2a + 4 - a}$.” …
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