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-x=0, x+y=0 and x-k=0.

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

Latus rectum of the parabola x^2=4ay is:

The area cut off by the parabola y^2 = 4ax , (a gt 0) and its latus rectum is

Find limit of the ratio of the area of the triangle formed by the origin and intersection points of the parabola y=4x^2 and the line y=a^2 to the area between the parabola and the line as a approaches to zero.

Find the area of the triangle formed by the tangents from the point (4, 3) to the circle x^2+y^2=9 and the line joining their points of contact.

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

A parabola, of latus-rectum l, touch a fixed equal parabola, the axes of two parabola, being parallel. Prove that the locus of the vertex of the moving parabola is a parabola of latus rectum 2l.

Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0, -1), (2, 1) and (0, 3). Find the ratio of the area of the triangle formed to the area of the given triangle