Question:medium

If in the binomial expansion of \( (1 - x)^m(1 + x)^n \), the coefficients of \( x \) and \( x^2 \) are respectively 3 and -4, then the ratio \( m : n \) is equal to:

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In binomial expansions, the coefficients of terms like \( x^r \) and \( x^2 \) can be determined by multiplying the corresponding terms from each expansion and solving the resulting equations.

Updated On: Apr 9, 2026

10 : 7
8 : 11
10 : 13
7 : 10

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The Correct Option is A

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If in the binomial expansion of \( (1 - x)^m(1 + x)^n \), the coefficients of \( x \) and \( x^2 \) are respectively 3 and -4, then the ratio \( m : n \) is equal to:

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The Correct Option is A

Solution and Explanation

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