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      Question

      If the product of roots of equation x2 -

      3(2p+4)x + (p2 - 24p + 145) = 0 is unity, then 'p' can take the values as
      A 10 Correct Answer Incorrect Answer
      B -12 Correct Answer Incorrect Answer
      C 12 Correct Answer Incorrect Answer
      D -10 Correct Answer Incorrect Answer
      E 11 Correct Answer Incorrect Answer

      Solution

      we know that product of roots = c/a c = p2 - 24p + 145 so, 1 = p2 - 24p + 145 p2 - 24p + 144 = 0 p2 - 24pΒ  + 144 = 0 β‡’ (p - 12)2 = 0 β‡’ p - 12 = 0 β‡’ p = 12

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