1.

If P (x) is a polynomial of degree less than or equal to 2 and S is the set of all such polynomials so that P (1) = 1,P(0) = 0 and P′ (x)u003e 0 ∀ x ∈ [0, 1], then?

A. S = φ
B. S = {(1 – a) x2 + ax 0 u003c a u003c 2
C. (1- a) x2 + ax a ∈ (0, ∞)
D. S = {(1 – a) x2 + ax 0 u003c a u003c 1
Answer» C. (1- a) x2 + ax a ∈ (0, ∞)


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