If the sum of the coefficients | Binomial Theorem

JEE MAIN 2020

07-01-20 S1

Question

If the sum of the coefficients of all even powers of x in the product
$\left(1+x+x^2+\ldots \ldots+x^{2 n}\right)\left(1-x+x^2-x^3+\ldots .+x^{2 n}\right)$
Is 61, then n is equal to _______.

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Question Tags

JEE Main

Mathematics

Medium

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