Let \[f(x)\] be a polynomial function of the second degree. If \[f(1)=f(-1)\] and \[{{a}_{1}},{{a}_{2}},{{a}_{3}}\] are in A.P. then \[{f}'({{a}_{1}})\], \[{f}'({{a}_{2}})\], \[{f}'({{a}_{3}})\] are in [AMU 2005]

Let \[f(x)\] be a polynomial function of the second degree. If \[f(1

1.	Let \[f(x)\] be a polynomial function of the second degree. If \[f(1)=f(-1)\] and \[{{a}_{1}},{{a}_{2}},{{a}_{3}}\] are in A.P. then \[{f}'({{a}_{1}})\], \[{f}'({{a}_{2}})\], \[{f}'({{a}_{3}})\] are in [AMU 2005]
A.	A.P
B.	G.P.
C.	H.P.
D.	None of these
Answer» B. G.P.

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Let \[f(x)\] be a polynomial function of the second degree. If \[f(1)=f(-1)\] and \[{{a}_{1}},{{a}_{2}},{{a}_{3}}\] are in A.P. then \[{f}'({{a}_{1}})\], \[{f}'({{a}_{2}})\], \[{f}'({{a}_{3}})\] are in [AMU 2005]

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