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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

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The correct Answer is:
D
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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Questions Asked In Previous 13 Years Exam)
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  3. The second degree polynomial f(x), satisfying f(0)=o, f(1)=1,f'(x)gt...

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  4. If f(x)=x^(3)+bx^(2)+cx+dand 0 ltb^(2)ltc, then in (-oo,oo)

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  11. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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  12. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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  13. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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  17. Let p(x) be a real polynomial of least degree which has a local maximu...

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  18. Let f be a function defined on R (the set of all real numbers) such th...

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