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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) gt 0 AA x in [0.1],` then

A

`S= phi`

B

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

C

`S= ax + (1-a) x^(2) AA a in R`

D

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

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The correct Answer is:
D
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ML KHANNA-THEORY OF QUADRATIC EQUATIONS -Problem Set - 4
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