Q. 255.0( 3 Votes )

Find the ar

Answer :

Given that we need to find the area of the triangle formed by the lines joining the vertex of the parabola x2 = 12y to the ends of its latus - rectum.

Comparing it with the standard form of parabola x2 = 4by.

Vertex is 0(0, 0)

Ends of latus rectum is (2b, b), (- 2b, b)

4b = 12

b = 3

Ends of latus rectum is (2(3), 3), (- 2(3), 3)

Ends of latus rectum is A(6, 3), B(- 6, 3)

We know that area of the triangle with the vertices (x1, y1), (x2, y2) and (x3, y3) is

A = 18sq.units.

The area of the triangle is 18 sq.units.

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