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  1. One root of the quadratic equation x2 - 12x + a = 0, is thrice the other. Find the value of a?
    2. A.
    29
    B.
    -27
    C.
    28
    D.
    7
    E.
    None of these

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    Answer : Option E

    Explanation :

    Let the roots of the quadratic equation be x and 3x.
    Sum of roots = -(-12) = 12
    a + 3a = 4a = 12 => a = 3
    Product of the roots = 3a2 = 3(3)2 = 27.

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