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      Question

      If (p + q + r) = 4, and (p² + q² + r²) =

      56
      A 20 Correct Answer Incorrect Answer
      B 24 Correct Answer Incorrect Answer
      C 18 Correct Answer Incorrect Answer
      D 16 Correct Answer Incorrect Answer

      Solution

      ATQ,

      We have, (p + q + r) = 4

      Squaring on both sides, we get

      (p + q + r) ² = 4²

      Or, p² + q² + r² + 2(pq + qr + rp) = 16

      Or, 56 + 2(pq + qr + rp) = 16

      Or, 2(pq + qr + rp) = 16 - 56 = -40

      So, (pq + qr + rp) = ( - 40/2) = - 20

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