A curve has the parametric equations
x=4t−8,y=t2−25 x = 4t - 8, \quad y = t^2 - 25 x=4t−8,y=t2−25Find the points where the curve crosses the coordinate axes.
Find an expression for dydx\displaystyle \frac{dy}{dx}dxdy in terms of xxx.
143 exam-style questions on OCR A Level Maths 1.3 Coordinate Geometry in the x-y Plane, covering 1.3.1 Straight lines, 1.3.2 Parallel and perpendicular lines, 1.3.3 Straight line models, 1.3.4 Coordinate geometry of a circle, 1.3.5 Centre and radius by completing the square, 1.3.6 Circle properties, 1.3.7 Parametric equations of curves (A-level only), 1.3.8 Parametric equations in context (A-level only), and 1.3 Coordinate Geometry in the x-y Plane. Each one has a worked solution and a mark scheme showing where the marks go.