Circle

The circle touches two parallel lines p and q, and its center lies on line a, which is the secant of lines p and q.

Write the equation of the circle and determine the coordinates of the center and radius.

p: x-10 = 0
q: -x-19 = 0
a: 9x-4y+5 = 0

Correct result:

xS =  -4.5
yS =  -8.88
r =  NAN

Solution:

A=pa=[10;0] B=qa=[19;0] S=AB2=[4.5;8.88] tp;tq;St t:+y+1=0 T=pt=[10;NAN] 
yS=(23.75+(41.5))/2=718=8.88
r=SA=(xSxT)2+(ySyT)2=NAN  (x+4.5)2+(x+8.88)2=NAN2 



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