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Quadratics

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Question 25

The curve C C\,C has the equation y=3x+kx∈R,x≠0\displaystyle y = \frac{3}{x} + k \quad x \in \mathbb{R}, x \neq 0y=x3​+kx∈R,x=0

The line L L\,L has the equation y=−5x+1y = -5x + 1y=−5x+1

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

5x2+(k−1)x+3=0 5x^2 + (k - 1)x + 3 = 0 5x2+(k−1)x+3=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. A Level
  2. /Maths
  3. /Quadratics

211 exam-style questions on Edexcel A 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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