find the equation of the circle having center (3,4) & touches the line 5x+12y+11=0

Answer 1

the distance from the line to the point is |5*3+12*4+11|/√(5^2+12^2) = 74/13

So, now you know the center and the radius. Just write the equation.

see the graphs at

http://www.wolframalpha.com/input/?i=plot+5x%2B12y%2B11%3D0%2C+%28x-3%29^2%2B%28y-4%29^2+%3D+%2874%2F13%29^2