A curve has the parametric equations
x=2t+1,y=t2−1 x = 2t + 1, \quad y = t^2 - 1 x=2t+1,y=t2−1Find the points where the curve crosses the coordinate axes.
Find an expression for dydx\displaystyle \frac{dy}{dx}dxdy in terms of xxx.
Hence find the coordinates of the point on the curve where the tangent is parallel to the line y=3x+1y=3x+1y=3x+1.
215 exam-style questions on Edexcel A Level Maths Parametric Equations, covering 8.1 Parametric Equations, 8.2 Using Trigonometric Identities, 8.3 Curve Sketching, 8.4 Points of Intersection, and 8.5 Modelling with Parametric Equations. Each one has a worked solution and a mark scheme showing where the marks go.