Edexcel P1 2020 January — Question 8

Exam BoardEdexcel
ModuleP1 (Pure Mathematics 1)
Year2020
SessionJanuary
TopicQuadratic Functions

8. The straight line \(l\) has equation \(y = k ( 2 x - 1 )\), where \(k\) is a constant. The curve \(C\) has equation \(y = x ^ { 2 } + 2 x + 11\)
Find the set of values of \(k\) for which \(l\) does not cross or touch \(C\).
(6)