Find the equation of the hyperbola whose foci are at `(0+-sqrt(10))` and which passes through the point (2,3).

Find the equation of the circle whose centre lies on the line x-4y = 1 and which passes through the points (3, 7) and (5, 5).

Find the equation of the circle whose centre is (2, -1) and which passes through (3, 6).

Find the equation of an ellipse whose major axis is along the y-axis and which passes through the points (2,2) and (1,4).

Find the equation of the circle with radius 5 whose centre lies on x-axis and passes through the point (2,3).

Find the equation of the hyperbola whose foaci are (0, 5) and (-2, 5) and eccentricity 3.

Find the equation of the hyperbola whose foci are (8, 3), (0, 3) and whose eccentricity is 4/3 .

Find the equation of the circle, whose centre lies on the line 2x- y- 3 = 0 and which passes through the points (3, - 2) and (-2, 0).

Find the equation to the hyperbola whose foci, are (6,4) and (-4,4) and eccentricity is 2.

Find the equation of the circle with radius 5 whose centre lies on y-axis and Passes through the point (2, 3).