Find the equation of a circle passing through the points `(1,-4),(5,2)`and having its centre on the line `x-2y+9=0`

Solve the following:Find the equation of the circle which passes through the points (2,1) and (-2,3) and has centre on the line x+y+4=0

Solve the following:find the equation of the circle which passes through the points (1,-2),(4,-3) and whose centre lies on the line 3x+4y=7

Find the equation of the line passing through the point (2,-5) and parallel to the line 2x-3y-7=0

The equation of the line passing through the point (1,2) and perpendicular to the line x+y+1=0 is

The equation of the circle which passes through the points (2,3) and (4,5) and the centre lies on the straight line y-4x + 3=0, is

Answer the following:Find the equation of circle passing through the point of intersection of the lines x+3y=0 and 2x-7y=0 whose centre is the point of intersection of lines x+y+1=0 and x-2y+4=0

Find the equation of a circle with centre (2, 2) and passes through the point (4, 5).