The curve C C\,C has the equation y=2x+kx∈R,x≠0\displaystyle y = \frac{2}{x} + k \quad x \in \mathbb{R}, x \neq 0y=x2+kx∈R,x=0
The line L L\,L has the equation y=−3x+2y = -3x + 2y=−3x+2
Show that the xxx-coordinate of any point of intersection of L L\,L with C C\,C is given by a solution of the equation
3x2+(k−2)x+2=0 3x^2 + (k - 2)x + 2 = 0 3x2+(k−2)x+2=0Hence find the exact values of k k\,k for which L L\,L is a tangent of CCC.
Practise Edexcel A Level Maths Quadratics with exam-style questions for A Level Maths. 25 questions covering 2.1 Solving Quadratics, 2.2 Completing the Square, 2.3 Sketching Quadratic Graphs, 2.4 The Discriminant, and 2.5 Modelling with Quadratics, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
