If $S$ is a set of $P(x)$ is polynomial of degree $ \le 2$ such that $P(0) = 0,$$P(1) = 1$,$P'(x) > 0{\rm{ }}\forall x \in (0,\,1)$, then
If $S$ is a set of $P(x)$ is polynomial of degree $ \le 2$ such that $P(0) = 0,$$P(1) = 1$,$P'(x) > 0{\rm{ }}\forall x \in (0,\,1)$, then
- [IIT 2005]
- A
$S = 0$
- B
$S = ax + (1 - a){x^2}{\rm{ }}\forall a \in (0,\infty )$
- C
$S = ax + (1 - a){x^2}{\rm{ }}\forall a \in R$
- D
$S = ax + (1 - a){x^2}{\rm{ }}\forall a \in (0,2)$
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- [KVPY 2013]
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