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    If a2+4b2=4aba^2 + 4b^2 = 4aba2+4b2=4ab, then a : b = ?​
    Question

    If a2+4b2=4aba^2 + 4b^2 = 4ab, then a : b = ?​

    A.

    1 : 1

    B.

    1 : 4

    C.

    2 : 1

    D.

    1 : 2

    Correct option is C

    Given:

    a2+4b2=4aba^2 + 4b^2 = 4ab

    Solution:

    a24ab+4b2=0a^2 - 4ab + 4b^2 = 0

    (a2b)2=0(a - 2b)^2 = 0

    a - 2b=0

    a=2b

    a:b=2:1

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