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For the circle , find the value of for which the area enclosed by the tangents drawn from the point to the circle and the chord of contact is maximum.

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answer is A.

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Detailed Solution

Concept- The area of a triangle is greatest when it is symmetrical and equilateral, and the sum of all the angles of an equilateral triangle is

. A circle's chord is a straight line segment with both endpoints on the circle.
Let the angle between the tangents is

Area of triangle is Question Image

Let

Therefore, for area to be maximum, the

Hence, the correct option is 1.

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