3.5: Tangent to a circle and non-intersection

0606/13/M/J/25 — Question 5 · 6 marks

Solutions by accurate drawing will not be accepted.

(a)
A circle CC has equation (x−5)2+(y−12)2=100(x - 5)^{2} + (y - 12)^{2} = 100. Find the equation of the tangent to CC at (11, 4)(11,\ 4) in the form ax+by=cax + by = c.
[4]
(b)
Show that CC and the circle x2+y2=4x^{2} + y^{2} = 4 do not intersect.
[2]