If the line `4x - 3y = -12` is tangent at point `(-3,0)` and the line `3x+4y=16` is tangent at the point `(4,1)` to a circle then equation of circle

Centre of a circle of radius 4sqrt(5) lies on the line y=x and satisfies the inequality 3x+6y > 10. If the line x+2y=3 is a tangent to the circle, then the equation of the circle is

If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle,then find the radius of the circle.

If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle,then find the radius of the circle.

If the line x+3y=0 is the tangent at (0,0) to the circle of radius 1, then the centre of one sum circle is

The line 5x-y=3 is a tangent to a circle at the point (2,7) and its centre is on theline x+2y=19. Find the equation of the circle.