1.

If P(x) is a polynomial of degree less than or equal to 2 and S is the set of all such polynomials so that P(0)=0, P(1)=1, and P'(x) gt0AAx in [0, 1], then

Answer»

`S=phi`
`S=ax+(1-a)x^(2)AA a in (0, 2)`
`S=ax+(1-a)x^(2)AA a in (0, oo)`
`S=ax(1-a)x^(2)AA a in (0, 1)`

Answer :B


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