If PSQ is a chord passing through the focus of a conic and 'l' is semi latus rectum, show that `1/(SP) + 1/(SQ) =2/l`

If PSP^(1) is a focal chord of a parabola y^(2)=4ax and SL is its semi latusrectum then SP SL and SP^(1) are in

Show that the area enclosed by y^(2)=4ax and its latus rectum is (8a^(2))/(3) sq units.

Consider the lines L _(1) : (x +1)/( 3) = (y+2)/(1) = (z+1)/(2), L_(2): (x-2)/(1) = (y+2)/(2) = (z-3)/(3) The distance of the point (1,1,1) from the plance passing through the point (-1,-2,-1) and whose normal is perpendicular to both the lines L _(1) and L _(2) is

Let LL' be the latus rectum through the focus S of a hyperbola and A ' be the farther vertex of the conic .If Delta A' LL' is equilateral then its eccentricity e=

The ends of the latus rectum of the parabola (x-2)^(2)=-6(y+1) are

Find the length of latus rectum of (x^(2))/(64)+(y^(2))/(36)=1