Find the equation of the circles passing through the three points : `(0, 0), (5, 0) and (3, 3)`

Find the equation of the circles passing through the three points : (1, -2), (5, 4) and (10, 5)

Find the equation of the circles passing through the three points : (1,0), (0, 1) and (-1, 0)

Find the equation of the circle which passes through the points P(l, 0), Q(3, 0), and R(0, 2). Find also (i) the coordinates of the other point in which the axis of y cuts the circle, (n) the coordinates of the other end of the diameter through Q.

Find the equation of the circle which passes through the points (0,0), (0,1) and (2,3)

Find the equation of the circle passing through the points (0, -1) and (2, 0) and whose centre lies on the line 3x+y=5

Find the equation of the circle which passes through the points (1,1), (0, -1) and (-2, 0)

Find the centre of the circle passing through the points (0,0), (2,0) and (0, 2) .

Find the equation of the plane passing through the points (2,1,0),(5,0,1) and (4,1,1) .

Find the equation of the plane passing through the points (0,-1,-1), (4,5,1) and (3,9,4). Also find the vector equation of the plane.

Find the equation of the circle that passes through the points (1,0),(-1,0)a n d(0,1)dot