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The second degree polynomial f(x), satis...

The second degree polynomial f(x), satisfying f(0)=o,
`f(1)=1,f'(x)gt0AAx in (0,1)`
a. `f(x)=phi`
b. `f(x)=ax+(1-a)x^(2),AAa in (0,oo)`
c. `f(x)=ax+(1-a)x^(2), a in (0,2)`
d. No such polynomial

A

`f(x)=phi`

B

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

C

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

D

No such polynomial

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The correct Answer is:
D
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