Find the equation of the parabola the extremities of whose latus rectum are (1, 2) and (1, -4).

The equations of the parabolas the extremities of whose latus rectum are (3, 5) and (3,-3)

Find the equation of the hyperbola , the length of whose latus rectum is 4 and the eccentricity is 3.

Find the equation of the parabola having (3,-6) and (3,6) as the extremities of the latus rectum .

Find the equation of the hyperbola whose foci are (0,+-4) and latus rectum is 12.

The equation of the parabola with latus rectum joining the points (6,7) and (6,-1) is

Find the equation of the parabola if the curve is opened upward, vertex is (-1, -2) and the length of the latus rectum is 4.

If the vertex is (2,0) and the extremities of the latus rectum are (3,2) and (3,-2) then the equation of the parabola is

Find the equation of the parabola whose vertex is (2,3) and the equation of latus rectum is x = 4 . Find the coordinates of the point of intersection of this parabola with its latus rectum .