22 JEE Main 2019 Binomial Theorem previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2019 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 ∑ i = 1 20   20 C i - 1   20 C i + 20 C i - 1 3 = k 21 , then k equals
If the fourth term in the binomial expansion of x 1 1 + l o g 10 x + x 1 12 6 is equal to 200 , and x > 1 , then th…
The coefficient of x 18 in the product 1 + x 1 - x 10 1 + x + x 2 9   is
If the fractional part of the number 2 403 15 is k 15 , then k is equal to
The total number of irrational terms in the binomial expansion of 7 1 5 - 3 1 10 60 is
Let (x+10)⁵⁰+(x-10)⁵⁰=a₀+a₁ x+a₂ x²+… .+a₅₀ x⁵⁰, for all x R ; then a₂a₀ is equal to :
If the coefficients of x 2 and x 3 , are both zero, in the expansion of the expression 1 + a x + b x 2 1 - 3 x 15 , in…
The term independent of x in the expansion of 1 60 - x 8 81 . 2 x 2 - 3 x 2 6 is equal to
If ∑ r = 0 25 C r   50 C 25 - r   50 - r = K C 25   50 , then K is equal to
If some three consecutive coefficients in the binomial expansion of x + 1 n in powers of x are in the ratio 2 : 15 : 70…
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