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The number of polynomials p:R to R satis...

The number of polynomials `p:R to R` satisfying `p(0)=0,p(x) gtx^(2)` for all `x ne0`, and `p''(0)=(1)/(2)` is

A

0

B

1

C

more than 1,but finite

D

infinite

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KVPY PREVIOUS YEAR-SOLVED PAPER 2018-EXAMPLE
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