4.02: Line avoiding a circle

0606/22/F/M/26 — Question 8 · 8 marks

A circle has centre \((-2,0)\) and radius \(5\). A line has equation \(y=2x+k\), where \(k\) is a constant. The line does not meet the circle.
Find the set of possible values of \(k\).
[8]