Vertex and focus of a parabola lie on x-axis and their distance from (0,0) are 's' and 'r' respectively , then find the length of `LR`

The vertex and the focus of a parabola are at distances a and a' respectively form the origin on positive x- axis. The equation of the parabola is

Find the equation of a parabola whose focus and vertex are (0, 0) and (0, 2) respectively.

Axis of a parabola lies along x-axis. If its vertex and focus are at distances 2 and 4, respectively, from the origin on the positive x-axis, then which of the following points does not lie on it ?

P is parabola,whose vertex and focus are on the positive x axis at distances a and a 'from the origin respectively,then (a'>a). Length of latus ractum of P will be

If the focus and vertex of a parabola are the poonts (0,2) and (0,4), respectively,then find the equation

Let a parabola P be such that its vertex and focus lie on the positive x- axis at a distance 2 and 4 units from the origin , respectively .If tangents are drawn from O(0,0) to the parabola P which meet P at S and R , then the area (in sq .units)of DeltaSOR is equal to :