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    Question

    In the question, two equations I and II are given. You

    have to solve both the equations to establish the correct relation between 'p' and 'q' and choose the correct option. I. 2p2 + 41p + 210 = 0 II. 2q2 - 45q + 253 = 0
    A p > q Correct Answer Incorrect Answer
    B p < q Correct Answer Incorrect Answer
    C p ≥ q Correct Answer Incorrect Answer
    D p ≤ q Correct Answer Incorrect Answer
    E p = q or relationship between p and q can’t be established. Correct Answer Incorrect Answer

    Solution

    ATQ, I. 2p2 + 41p + 210= 0 Pairs are 21, 20 Values after changing sign = - 21, - 20 and after dividing by 2, Final values of p = -10.5, - 10. II. 2q2 - 45q + 253= 0 Pairs are -22, -23 Values after changing sign = 22, 23 and after dividing by 2,  Final values of q =  11, 11.5 Hence, p < q Alternate Method: The sign of both roots of x are negative and the sign of both roots of y are positive so no need to find the exact value of roots as negative is always lesser than positive value Hence p < q. 

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