48 JEE Main 2023 Binomial Theorem previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2023 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 coefficient of x 18 in the expansion of x 4 - 1 x 3 15 is _ _ _ _ _ _ _ _ _ _ _ _
If the 1011 th term from the end in the binomial expansion of 4 x 5 - 5 2 x 2022 is 1024 times 1011 th term from the be…
The value of 1 1 ! 50 ! + 1 3 ! 48 ! + 1 5 ! 46 ! + … . + 1 49 ! 2 ! + 1 51 ! 1 ! is
∑ k = 0 6 C 3 51 - k is equal to
If C 1 30 2 + 2 C 2 30 2 + 3 C 3 30 2 . . . . . . . . . . 30 C 30 30 2 = α 60 ! 30 ! 2 , then α is equal to
If the constant term in the binomial expansion of x 5 2 2 - 4 x l 9 is - 84 and the coefficient of x - 3 l is 2 α…
Let t denote the greatest integer ≤ t . if the constant term in the expansion of 3 x 2 - 1 2 x 5 7 is α then…
Let x = 8 3 + 13 13 and y = 7 2 + 9 9 . If t denotes the greatest integer ≤ t , then
The remainder, when 7 103 is divided by 17 , is
The constant term in the expansion of 2 x + 1 x 7 + 3 x 2 5 is _____ .
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