Find the equation of the parabola whose vertex is at the origin, axis is along x-axis and which passes through the point (2,3).

Find the equation of the parabola, which has vertex (0, 0) and is symmetric about y-axis and passes through the point (2, - 3).

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 to the parabola whose axis parallel to the y-axis and which passes through the points (0,4)(1,9) and (4,5) and determine its latusrectum.

Find the equatin to the parabola whose axis is parallel to the y-xis and which passes through the point (0,4), (1.9)," and "(-2,6) and determine its latus rectum.

Equation of the parabola whose axis is parallel to Y- axis and which passes through the point (1,0),(0,0)and (-2,4) , is

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 equations of the parabola with vertices at the origin and satisfying the following condition : Passing through (2, 3) and axis along x-axis.

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 parabola whose focus is (4,-3) and vertex is (4,-1).

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).