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JEE Main 2022 Mathematics question

MathematicsBinomial TheoremJEE Main 2022

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

Answer: 83

Solution

= . The power 30 − 4r is even for every r and positive for r = 0, …, 7, but negative for r = 8, 9, 10. So the required sum is

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Question ID VK-024917