Please teach me to do this question
I have a circle C: x^2 + y^2 - 2y = 0
and a circle K which touches C and the X-axis.
Let A(s,t) be the centre of K, how can I show that
4t = s^2 ?
And then how can I find the eqations of circles which ...
1. pass through the point (6/5,2/5), and ...
2. touch the x-axis and C in quadrant I?
There are 2 answers but I can't find any of them
My learnings: For a circle with equation x^2 + y^2 + Dx + Ey + F = 0
the centre is (-D/2, -E/2)
the radius is [(D^2 + E^2 - 4F)^(1/2)] * 0.5
How can I use these formulae to do the question?