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Let f(x)={(e^({x^(2)})-1,xgt1),((sinx-tanx+cosx-1)/(2x^(2)+In(2+x)+tanx),xlt0),(0,x=0):} where { } represents fractional part function. Suppose lines L_(1) andL_(2) represent tangent and normal to curve y=f(x) at x=0. Consider the family of circles touching both the lines L_(1) and L_(2) A circle having radius unity is inscribed in the triangle formed by L_(1) and L_(2) and a tangent to it. Then the minimum area of the triangle possible is |
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Answer» `3+sqrt(2)` |
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