Parabola|Standard Equations of Parabola#!#Latus Rectum#!#Examples

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

y^(2)+2y-x+5=0 represents a parabola. Find its vertex,equation of axis,equation of latus rectum,coordinates of the focus, equation of the directrix,extremities of the latus rectum,and the length of the latus rectum.

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

If the locus of the point (4t^(2)-1,8t-2) represents a parabola then the equation of latus rectum is

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

The extreme points of the latus rectum of a parabola are (7,5) and (7,3). Find the equation of the parabola and the points where it meets the coordinate axes.

The equation of the parabola with same latus rectum as the ellipse (x^(2))/(25)+(y^(2))/(16)=1 is

Two parabolas have coordinate axes as their directrices and having same focus.If the square of latus rectum of one parabola is equal to length of latus rectum of second and locus of focus is conic C, then length of latus rectum of conic C is