Skip to content

Course home

Quadratics

Quadratics

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129
Question 119

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=−5x+3y = -5x + 3y=−5x+3

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−3)x+2=0 5x^2 + (k - 3)x + 2 = 0 5x2+(k−3)x+2=0

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.

Question bank