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JEE Main Mathematics question

MathematicsBinomial TheoremJEE Main

If the sum of the co-efficients of all the positive even powers of in the binomial expansion of is , then is equal to

Answer: 83

Solution

The general term is , whose power of is always even; it is positive for and negative for . The sum of all coefficients is (value at ), so the

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Question ID VK-021381