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Question

If zeros of the polynomial f(x) = x3 − 3px2 + qx − r are in A.P., then

(a) 2p3 = pq − r
(b) 2p3 = pq + r
(c) p3 = pq − r
(d) None of these

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Solution

Let be the zeros of the polynomial then

Since a is a zero of the polynomial

Therefore,

Substituting .we get

Hence, the correct choice is


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