New RBI Grade B Notification Coming Soon... Prepare with Us!! Click here to enroll

    Register

    Question

    In each question two equations are provided. On the basis of these you have to find out the relation between p and q. Give answer.

    I. p2+ 2p – 8 = 0 II. q2 – 5q + 6 = 0

    A if p = q Correct Answer Incorrect Answer
    B if p > q Correct Answer Incorrect Answer
    C if q > p Correct Answer Incorrect Answer
    D if p ≥ q Correct Answer Incorrect Answer
    E if q ≥ p Correct Answer Incorrect Answer

    Solution

    I. p2+ 2p – 8 = 0
    ⇒ (p + 4) ( p – 2) = 0
    ⇒ p = 2, - 4
    II. q2– 5q + 6 = 0
    ⇒ ( q - 3) ( q - 2) = 0
    ⇒ q = 2, 3
    Hence, q ≥ p
    Alternate Method:
    if signs of quadratic equation is +ve and -ve respectively then the roots of equation will be +ve and -ve. (note: -ve sign will come in larger root)
    So, roots of first equation = p = 2, -4
    if signs of quadratic equation is -ve and +ve respectively then the roots of equation will be +ve and +ve.
    So, roots of second equation = q = 2, 3
    After comparing roots of quadratic eqution we can conclude that q ≥ p.

    Practice Next

    Relevant for Exams:

    ×
    ×