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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 - 24p  + 144 = 0 ⇒ (p - 12)2 = 0 ⇒ p - 12 = 0 ⇒ p = 12

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