Question

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

Medium

Solution

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The given parabola isΒ Β 

On comparing this equation withΒ , 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 Β 



Β 





sq.units

Thus the required area of the triangle isΒ  unit

Solve any question of Conic Sections with:-

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