Find the equation of the ellipse with `e=3/4`, foci on y-axis, centre at the origin, and passing through the point (6, 4).

Find the equation of the line passing through the point (-1,1) and (2,4).

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).

In the following,find the equation for the ellipse that satisfies the given conditions: Major axis on the x-axis and passes through the points (4,3) and (6,2).

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

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 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 a hyperbola whose vertices lie on y-axis, centre is at the origin, the distance between the foci is 16 and eccentricity is sqrt2 .

Find the equation for the ellipse that satisfies the given condition : Major axis on the x-axis-an passes through the poiņts (4, 3) and (6,2).

Find the equation of the circle concentric with the circle x^2 + y^2+4x+ 6y+11=0 and Passing through the point (5, 4).