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Prove that the area of the triangle insc...

Prove that the area of the triangle inscribed in the parabola `y^(2)=4ax` is
`(1)/(8a)|(y_(1)-y_(2))(y_(2)-y_(2))(y_(3)-y_(1))|` sq. units
where `y_(1),y_(2),y_(3)` are the ordinates of its vertices.

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(18a)|(y_(1)-y_(2))(y_(2)-y_(2))(y_(3)-y_(1))|`
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