Questions
Let be a polynomial function of second degree. If and are in A.P., then are in
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a
G.P.
b
H.P.
c
A.G.P.
d
A.P.
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Correct option is D
Let f(x)=Ax2+Bx+C.f(1)=f(−1)⇒A+B+C⇒A−B+C⇒ 2B=0⇒B=0.∴ f(x)=Ax2+C⇒f′(x)=2AxAs a,b,c are in A.P., 2Aa, 2Ab, 2Ac are in A.P., i.e., f'(a), f'(b), f'(c) are in A.P.Similar Questions
If and 1 are in A.P, then x is equal to
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