JEE Main & Advanced Mathematics Sequence & Series Question Bank Self Evaluation Test - Sequences and Series

  • question_answer
    If a, b, c are in A. P., then\[(a+2b-c)(2b+c-a)(c+a-b)\] equals

    A) \[\frac{1}{2}abc\]

    B) abc

    C) 2 abc

    D) 4 abc

    Correct Answer: D

    Solution :

    [d] \[2b=a+c,\] so the given expression is \[(a+a+c-c)(a+c+c-a)(2b-b)=4abc\]


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