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Length of External Common Tangent

Find the area...

Question

Find the area of triangle formed by the tangents to the curve $2 y^{2} = x$ drawn at the points whose ordinates are 2,3,4 respectively

A

1 sq.units

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B

9 sq units

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C

24 sq units

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D

12 sq units

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Solution

The correct option is A 1 sq.units
Area $= \frac{1}{16 a} | (y_{1} - y_{2}) (y_{2} - y_{3}) (y_{3} - y_{1}) |$

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