6. Find the area of the triangle formed by the lines joining the vertex of the parabola to the ends of its latus rectum.
Given the parabola,
Comparing this equation with , we get
Now, As we know the coordinates of ends of latus rectum are:
So, the coordinates of latus rectum are,
Now the area of the triangle with coordinates (0,0),(6,3) and (-6,3)
Widht of the triangle = 2*6=12
Height of the triangle = 3
So The area =
Hence the required area is 18 unit square.