Mathematics B (MEI) H630: COORDINATE GEOMETRY Topical Past Paper Questions

In this question you must show detailed reasoning. Determine the coordinates of the point of intersection of the line with equation $ y = 2x + 3 $ and the curve with equation $ y^{2} - 4x^{2} = 33 $. [4]

In this question you must show detailed reasoning. The equation of a curve is $ y = 16\sqrt{x} + \frac{8}{x} $. Determine the equation of the tangent to the curve at the point where x = 4. [7]

In this question you must show detailed reasoning. The points P, Q and R have coordinates $ (-3, 7) $, $ (11, 5) $ and $ (9, -9) $ respectively. (a) Show that PQ is perpendicular to QR. A circle passes through P, Q and R. [3] (b) Determine the coordinates of the centre of the cir…