Given a circle: C(1,2) & radius #sqrt(5)# a) Find the perpendicular distance from center to #x + 2y -10=0#, show this line is a tangent to the circle. b) Find the perpendicular distance from center to #x+2y -12 =0#, show the line does not meet circle?
The distance of C to the first line is exactly
The general formula for the distance of the generis point
so the distances are