If \( S \) is a set of \( P(x) \) is polynomial of degree \( \leq 2... VIDEO
If \( S \) is a set of \( P(x) \) is polynomial of degree \( \leq 2 \) such that
P \( P(0)=0, P(1)=1, P^{\prime}(x)0, \forall x \in(0,1) \), then [IIT-JEE 2005, 3M]
(a) \( S=0 \)
W
(b) \( S=a x+(1-a) x^{2}, \forall a \in(0, \infty) \)
(c) \( S=a x+(1-a) x^{2}, \forall a \in R \)
(d) \( S=a x+(1-a) x^{2}, \forall a \in(0,2) \)
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