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If the point P(a ,a^2) lies completely ...

If the point `P(a ,a^2)` lies completely inside the triangle formed by the lines `x=0,y=0,` and `x+y=2,` then find the exhaustive range of values of `a` is (A) `(0,1)` (B) `(1,sqrt2)` (C) `(sqrt2 -1,1)` (D) `(sqrt2 -1,2)`

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