4.04: Tangents to a circle

0606/13/M/J/26 — Question 9 · 8 marks

A circle has centre \((3,1)\) and radius \(1\). The line is \(2y+x=c\).
(a)
Find the two values of \(c\) for which the line is tangent to the circle.
[7]
(b)
State the relationship between the line and circle when \(c\) lies between these values.
[1]