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Quadratics

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Question 11
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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

a.

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=0
[3]
b.

Hence find the exact values of k k\,k for which L L\,L is a tangent of CCC.

[3]
Markscheme

Quadratics Questions

  1. AS Level
  2. /Maths
  3. /Quadratics

37 exam-style questions on Edexcel AS Level Maths Quadratics, 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. Each one has a worked solution and a mark scheme showing where the marks go.

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