Obtain the equations of the straight lines passing through the point A(2, 0) & making 45 with the tangent at A to the circle `(x + 2)^2 + (y-3)^2 = 25`. Find the equations of the circles each of radius 3 whose centres are on these straight lines at a distance of `5sqrt2` from A.

Answer

x – 7y = 2, 7x + y = 14 ; `(x-1)^(2) + (y - 7)^(2) = 3^(2); (x - 3)^(2) + (y + 7)^(2) = 3^(2); (x-9)^(2)+ (y-1)^(2) = 3^(2); (x + 5)^(2) + (y + 1)^(2) = 3^(2)`