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Question

If p + q + r = 0 = a + b + c, then the value of the determinant
∣ ∣paqbrcqcrapbrbpcqa∣ ∣ is
  1. pq + qb + rc
  2. 1
  3. none of these
  4. 0


Solution

The correct option is D 0
∣ ∣pqqbrcqcrapbrbpcqa∣ ∣=pqr(a3+b3+c3)abc(p3+q3+r3)=pqr(3abc)abc(3pqr)=0

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