Multiple Choice Questions on If one the roots of the equation px2 minus qx r 0 is three times the other then which one of the fol........... for CDS Exam Preparation

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Multiple Choice Questions

If one the roots of the equation px2 minus qx r 0 is three times the other then which one of the fol...........

Quantitative Aptitude (CDS) Quadratic Equations
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    If one the roots of the equation px2 − qx + r = 0 is three times the other, then which one of the following relation is correct?

    3q2 − 16pr

    Correct Answer

     q2 − 24pr

    Incorrect Answer

    p = q + r

    Incorrect Answer

      p+ q + r = 1

    Incorrect Answer
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    Explanation:

    Given equation px2 − qx + r = 0
    Let one root of the equation be a
    So, other root = 3 a
    Sum of roots = a + 3a = − (q/p)
    a = − ( q/4p)                               …. (i)
    Product of roots = a. 3a = (r/p)⇒ 3a2 = (r/p) ⇒3(−q4p)/2= (r/p)
    = 3q2=16pr

    By: Munesh Kumari
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