(a)[2]
Find the $y$-coordinates of $A$ and $B$, and give your answers in surd form.
(b)[2]
Find the equation of the circle that has $AB$ as its diameter.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The circle given by $(x - 3)^2 + (y - 5)^2 = 40$ cuts the $y$-axis at the points $A$ and $B$.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Put $x=0$ into the equation of the circle to get $(0-3)^2+(y-5)^2=40$” …
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