1.

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

Answer»

`3+sqrt(2)`
`2+sqrt(3)`
`3+2sqrt(2)`
`3-2sqrt(2)`

ANSWER :B::C


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