Q.

A pair of Tangents enclosing an angle of 60°, are drawn to unit circle, The area enclosed by these Tangents and the minor arc of the circle between the points of contact is λπk  Then  λ+k=

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answer is 6.

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Detailed Solution

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Tan30=1L13=1Ll=3 required area = area of quadrilateral- area of arc  =rl12r2θ =3122π3 =3π3

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A pair of Tangents enclosing an angle of 60°, are drawn to unit circle, The area enclosed by these Tangents and the minor arc of the circle between the points of contact is λ−πk  Then  λ+k=