If A(1,p^2),B(0,1) and C(p ,0) are the c...

If `A(1,p^2),B(0,1)` and `C(p ,0)` are the coordinates of three points, then the value of `p` for which the area of triangle `A B C` is the minimum is (a) `1/(sqrt(3))` (b) `-1/(sqrt(3))` (c)`1/(sqrt(2))` (d) none of these

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