[" 12.Find the differential equation of all the parabolas with latus rectum "4a'" and whose axes are "],[R" .parallel to "x" -axis."]

Find the differential equation of all the parabolas with latus rectum 4a and whose axes are parallel to x-axis.

Fid the differential equation of all the parabolas with latus rectum 44a' and whose axes are parallel to x -axis.

Find the differential equation of the family of all the parabolas with latus rectum 4a and whose axes are parallel to the x-axis.

Find the differential equation of all parabolas whose axis is the X axis.

Find the differential equation of all parabolas having length of latus rectum 4a and axis is parallel to the X axis.

Show that the differntial equation that represents all parabolas each of which has a latus rectum 4a and whose axes are parallel to x axis is 2ay_2+y_1^3=0 .

Correct statement is/are (A) The differential equation of all conics whose axes coincide with the axes of co-ordinates is of order 2 (B) The differential equation of all staright lines which are at fixed distance p from origin is of degree 2. (C) The differential equation of all parabola each which has a latus rectum 4a & whose axes are parallel to y-axis is of order 2. D) The differential equation of all parabolas of given vertex, is of order 3.