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If `A(1,p^(2)),B(0,1)` and `C(p,0)` are the coordinates of three points then area of the triangle `ABC` is `1/(lamda)|p^(3)-p+1|`. The value of `lamda` is

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The correct Answer is:
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`A=1/2|(1,p^(2),1),(0,1,1),(p,0,1)|=1/2[1(1-0)+p(p^(2)-1)]=1/2(p^(3)-p+1)`
Hence `A=1/2|p^(3)-p+1|`
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