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Question

What is the ratio of the area of triangle formed by three points on the parabola and the area of triangle formed by the respective tangents ?

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Solution

From the property of tangents, we know that:

Area of triangle formed by three points on the parabola =2(Area of triangle formed by the respective tangents.)

$\Rightarrow \frac{Area of triangle formed by three points on the parabola}{Area of triangle formed by the respective tangents} = 2$

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