# Find the equation of circle with radius 4 units and whose centre lies on the line #13x+4y=32# and which touches the line #3x+4y+28=0#.?

##### 1 Answer

Nov 26, 2017

see explanation.

#### Explanation:

Let equation of

Let center of the circle be

given that

Substituting

recall that the perpendicular distance from a point

given that

when

when

equations of the circles are:

and