39 JEE Main 2021 Binomial Theorem previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2021 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.
If the coefficients of x 7 in x 2 + 1 b x 11 and x - 7 in x - 1 b x 2 11 , b ≠ 0 , are equal, then the value of b…
If 3 6 4 4 k is the term, independent of x , in the binomial expansion of x 4 - 12 x 2 12 , then k is equal to
If the fourth term in the expansion of x + x log 2 x 7 is 4480 , then the value of x where x ∈ N is equal to:
The maximum value of the term independent of t in the expansion of t x 1 5 + 1 - x 1 10 t 10 where x ∈ 0 , 1 is:
If the remainder when x is divided by 4 is 3 , then the remainder when 2020 + x 2022 is divided by 8 is ___ .
The value of - C 1 15 + 2 · C 2 15 - 3 · 15 C 3 + . . . . . - 15 · C 15 15 + C 1 14 + C 3 14 + C 5 14 +…
If C r 20 is the co-efficient of x r in the expansion of ( 1 + x ) 20 , then the value of ∑ r = 0 20 r 2 C r 20 i…
The sum of all those terms which are rational numbers in the expansion of 2 1 3 + 3 1 4 12 is:
If the constant term, in binomial expansion of 2 x r + 1 x 2 10 is 180 , then r is equal to ____________.
If n ⩾ 2 is a positive integer, then the sum of the series C 2 n + 1 + 2 C 2 2 + C 2 3 + C 2 4 + … + C 2 n…
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