Question

# Find the area of the triangle formed by the lines joining the vertex of the parabola  to the ends of its latus rectum.

Medium

## Solution

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## The given parabola is   On comparing this equation with , we get So, the coordinates of focus is Let be the latus rectum of the given parabola. Coordinates of end-points of latus rectum are Coordinates of are while the coordinates of are Therefore, the vertices of are are and Let be the coordinates of Area of     sq.units Thus the required area of the triangle is  unit

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