In the parabola `y^(2) = 6x`, find (1) the equation to the chord through the vertex and the negative end of the latus rectum, and (2) the equation to any chord through the point on the curve whose abscissa is 24.

The equation of a circle passing through the vertex and the extremites of the latus rectum of the parabola y ^(2)=8x is

Find the equation of a line joining the vertex of parabola y^(2)=8x to its upper end of latus rectum.

Let A be the vertex and L the length of the latus rectum of the parabola,y^(2)-2y-4x-7=0 The equation of the parabola with A as vertex 2L the length of the latus rectum and the axis at right angles to that of the given curve is:

Find the equation of the chord to the parabola y^2=4ax whose middle point is (h,k).

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.

Equation of the latus rectum of the parabola 2y^(2) = 5x is