Multiple Choice Questions on The total number of terms in the expansion of x a 100 x minus a 100 after simplification i........... for NDA Exam Preparation

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Multiple Choice Questions

The total number of terms in the expansion of x a 100 x minus a 100 after simplification i...........

Mathematics (NDA) Algebra
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    The total number of terms in the expansion of (x+a)100 + (x−a)100 after simplification is-

    202

    Incorrect Answer

    101

    Incorrect Answer

    51

    Correct Answer

    50

    Incorrect Answer
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    Explanation:

     (x+a)100+(x−a)100

    The terms containing odd power of (-a)
    in the expansion of (x – a)100 will cancel
    out with corresponding terms in the
    expansion of (x + a)100. So remaining
    terms will be = 101 – 50 = 51

    By: Yachna
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