20 JEE Main 2020 Binomial Theorem previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2020 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 for some positive integer n , the coefficients of three consecutive terms in the binomial expansion of 1 + x n + 5 a…
The value of ( 2 ⋅ 1 P 0 − 3 ⋅ 2 P 1 + 4 ⋅ 3 P 2 − . . . . . . . . up to 51 th term) + (…
Let α > 0 , β > 0 be such that α 3 + β 2 = 4 . If the maximum value of the term independent…
The coefficient of x 4 in the expansion of 1 + x + x 2 + x 3 6 in powers of x , is … . .
The natural number m , for which the coefficient of x in the binomial expansion of x m + 1 x 2 22 is 1540, is
If a , b and c are the greatest values of C p 19 , C q 20 and C r 21 respectively, then:
Let 2 x 2 + 3 x + 4 10 = ∑ r = 0 20 a r x r . Then a 7 a 13 is equal to ______
If the sum of the coefficients of all even powers of x in the product 1 + x + x 2 + … + x 2 n 1 - x + x 2 - x 3 +…
In the expansion of x cos ⁡ θ + 1 x sin ⁡ θ 16 , if l 1 is the least value of the term independen…
The number of ordered pairs r , k for which 6 . C r 35 = k 2 - 3 . C r + 1 36 , where k is an integer is
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