PARABOLA HAVING AXIS PARALLEL TO X-AXIS

Find the differential equation of the family of parabola whose axis is parallel to X -axis and vertex is on Y -axis

Find the equation of the parabola passing through the points (-1,2),(1,-1) and (2,1) and having its axis parallel to the X-axis.

Prove that the equation y^2+2Ax+2By+c=0 is represent a parabola and whose axis is parallel to x axis.

Prove that the equation y^2+ 2Ax + 2By +c =0 represents a parabola whose axis is parallel to the x-axis.

The order of the differential equation of all parabolas, whose latus rectu, is 4a and axis parallel to the X-axis, is

The equation of parabola having vertex at the origin, X-axis as the axis and passing through (2,-5) is :

Two parabola have the same focus. If their directrices are the x-axis and the y-axis respectively, then the slope of their common chord is :