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1.5 B: Algebra and functions

1.5 B: Algebra and functions

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Question 133
86%

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

1.5 B: Algebra and functions Questions

  1. A Level
  2. /Maths
  3. /1.5 B: Algebra and functions

532 exam-style questions on AQA A Level Maths 1.5 B: Algebra and functions, covering 1.5.1 Laws of indices, 1.5.2 Surds, 1.5.3 Quadratic functions, 1.5.4 Simultaneous equations, 1.5.5 Linear and quadratic inequalities, 1.5.6 Polynomials and rational expressions, 1.5.7 Graphs of functions and proportion, 1.5.8 Composite and inverse functions (A-level only), 1.5.9 Transformations of graphs, 1.5.10 Partial fractions (A-level only), and 1.5.11 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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