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Let f:RrarrR such that f(x) is continuou...

Let `f:RrarrR` such that `f(x)` is continuous and attains only rational value at all real x and ``f(3)=4. If `a_1,a_2,a_3,a_4,a_5` are in H.P. then `sum_(r=1)^4 a_r a_(r+1)= (A) ``f(3).a_1a_5` (B) `f(3).a_4a_5` (C) `f(3).a_1a_2` (D) `f(3).a_1a_3`

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