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    Question

    The coefficients of ap and aq in

    the expression of (1 + a)p+q are (i) Equal (ii) Equal with opposite signs (iii) Reciprocals of each other (iv) None of these
    A i Correct Answer Incorrect Answer
    B iii Correct Answer Incorrect Answer
    C iv Correct Answer Incorrect Answer
    D ii Correct Answer Incorrect Answer

    Solution

    The coefficients of ap and aq in the expression of (1 + a) p+q We know, bp+1 = p+qCp × p and bq+1 = p+qCq × q Coefficient of ap = p+qCp = [p+q]!/p!q! and Coefficient of aq = p+qCq = [p+q]!/p!q! Therefore, coefficients of ap and aq in the expression of (1 + a)p+q are equal.

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