Find the area of the triangle formed by the lines joingn the vertex of the parabola `x^2=24y`to the ends of its latus rectum .

Find the area of the triangle formed by the lines joining the vertex of the parabola x^(2)=12y to the ends of its latus rectum.

find the area of the triangle formed by the lines y=0, x+y=0 and x-4=0

Find the area bounded by the parabola x^(2) =12y and its latus rectum

Find the area of the parabola y^(2) = 4ax bounded by its latus rectum.

Find the equations of normal to the parabola y^2=4a x at the ends of the latus rectum.

The area of the triangle formed by the tangent and the normal to the parabola y^2=4a x , both drawn at the same end of the latus rectum, and the axis of the parabola is (a) 2sqrt(2)a^2 (b) 2a^2 4a^2 (d) none of these

Find the area of the triangle formed by the lines y - x = 0, x + y = 0 " and " x - k = 0 .

Find by integration the area of the triangle formed by the x-axis and the tangent and normal to the parabola y=6x-x^(2) at (5,5)

Consider the parabola y^2 = 8x. Let Delta_1 be the area of the triangle formed by the end points of its latus rectum and the point P( 1/2 ,2) on the parabola and Delta_2 be the area of the triangle formed by drawing tangents at P and at the end points of latus rectum. Delta_1/Delta_2 is :

Find the focus, the length of the latus rectum and the directrix of the parabola 3x^(2) = 8y