27 JEE Main 2022 Binomial Theorem previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2022 previous-year questions from the Binomial Theorem chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Binomial Theorem chapter hub.
The number of positive integers k such that the constant term in the binomial expansion of 2 x 3 + 3 x k 12 , x ≠…
If the coefficient of x 10 in the binomial expansion of x 5 1 4 + 5 x 1 3 60 is 5 k l , where l , k ∈ N and l is…
If 1 2 · 3 10 + 1 2 2 · 3 9 + … + 1 2 10 · 3 = K 2 10 · 3 10 , then the remainder when K is d…
If the constant term in the expansion of 3 x 3 - 2 x 2 + 5 x 5 10 is 2 k . l , where l is an odd integer, then the valu…
The remainder when 2021 2023 is divided by 7 is
The remainder when 11 1011 + 1011 11 is divided by 9 is _____ .
Let the coefficients of the middle terms in the expansion of 1 6 + β x 4 , 1 - 3 β x 2 and 1 - β 2 x 6 ,…
If C 0 40 + C 1 41 + C 2 42 + ⋯ + C 20 60 = m n × C 20 60 where m & n are co-prime, then m + n is equal to
If the sum of the co-efficients of all the positive even powers of x in the binomial expansion of 2 x 3 + 3 x 10 is 5 1…
If the maximum value of the term independent of t in the expansion of t 2 x 1 5 + 1 - x 1 10 t 15 , x ≥ 0 , is K…
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