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    If the mean proportional between p and q is 12, then the possible values of p and q, respectively, are:
    Question

    If the mean proportional between p and q is 12, then the possible values of p and q, respectively, are:

    A.

    3, 38

    B.

    3, 28

    C.

    24, 6

    D.

    24, 16

    Correct option is C

    Given: Mean proportional between p and q is 12
    Formula Used: If m is the mean proportional between p and q, then m2m^2​ = p × q
    Solution:
    Here, m = 12,
    so (12)2(12)^2 ​= p × q
    144 = p × q.
    Thus, p × q = 144.
    There are multiple pairs of values that satisfy this equation, such as (p, q) = (9, 16), (12, 12), (16, 9) (24, 6)

    So, among the given options (24,6) is the correct answer.

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