Question

Find the eq. circle touching lines x+y=1 and x-y=1 and passing through a point (3,sqrt{3.5})

Answer 1

First find the point of intersection of lines x+y=1 and x-y=1

Answer 2

(1,0)

Answer 3

Lines x+y=1 and x-y=1 are tangents to the required circle
so,

Answer 4

Like that there can be four circles on each side