Additional Mathematics 0606: COORDINATE GEOMETRY Topical Past Paper Questions

Solutions to this question by accurate drawing will not be accepted. A circle $ C_{1} $ has centre (3, 5). The point $ P(1,4) $ lies on circle $ C_{1} $. A circle $ C_{2} $ has centre (12, 8). The line with equation $y = 19 - 3x$ is the common chord of circles $C_{1}$ and $C_{2}$…

A circle has equation $ x^{2}+y^{2}-25=0 $. A second circle has the same radius as the first circle, and the coordinates of its centre are both positive. The two circles intersect at the points A and B. The line AB has length 6 and is parallel to the line $y = -x$. Find the equat…

The straight line $ y = 2x + 1 $ intersects the curve $ y + xy + 3x^{2} = 15 $ at the points A and B. The point C with coordinates $ \left(\frac{21}{10}, k\right) $ lies on the perpendicular bisector of AB. (a) Find the exact value of k. [8] (b) The point $D$ lies on the perpendi…