Let a (1), a(2), a(3)……. be a sequence o...

Let `a _(1), a_(2), a_(3)…….` be a sequence of non-zero rela numbers with are in A.P. for `k in N.` Let `f _(k)(x) =a_(k ) x ^(2) + 2a _(k+1) x + a _(k+2)`

`f _(k) (x) =0` has real roots for each `k in N.`

Each of `f _(k)(x) =0` has one root in common.

Non-common roots of `f _(1) (x) =0 , f _(2)(x)=0, f _(3)(x)=0,……` from an A.P.

None of these

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