Consider a family of circles passing through the points (3, 7) and (6,5). Answer the following questions. Number of circles which belong to the family and also touchingx- axis are

Find the equation of the circle passing through the points (1,1), (2,-1), and (3,2).

consider a family of circles passing through two fixed points S(3,7) and B(6,5) . If the common chords of the circle x^(2)+y^(2)-4x-6y-3=0 and the members of the family of circles pass through a fixed point (a,b), then

Find the differential equation of the family of circles passing through the points (a,0) and (-a,0)

Find the equation of the circle passing through the points (4,1) and (6,5) and whose centre is on the line 4x+y=16 .

Find the equation of the circle passing through the points (1,-2),(2,-1),(3,1) .

Find the equation of the circle passing through the point (4,1) and (6,5) and whose centre is on the line 4x + y = 16 .

Find the equations of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2

Find the equation of the circle passing through the points (2,3) and (-1,-1) and whose centre is on the line x-3y-11=0.

Find the slope of the straight line passing through the points (5,7) and (7,5). Also find the angle of inclination of the line with the x-axis .