Analytic Geometry
posted by Lea .
Find the equation of the circle touching the lines x+2y=4, x+2y=2 and y=2x5
Please I need help, its for my homework

Did you notice that your first two lines are parallel ?
so if our circle touches both of those, it must have its centre on x+2y = 3.
now you have the question:
a circle has its centre on x + 2y = 3 and is tangent to y=2x5 or 2x  y  5 = 0
and it is the same question as the one I answered for you on Tuesday
http://www.jiskha.com/display.cgi?id=1359516857