272 JEE Main Binomial Theorem PYQs (2002–2026) with verified answers and step-by-step solutions.
This page collects every JEE Main Binomial Theorem previous-year question from Mathematics, 2002–2026. Each links to a full solution with a verified answer key. Click any year above to narrow the list, or open a question to study its step-by-step working and then practice it on PrepSharp's CBT player.
The sum of all possible values of n N, so that the coefficients of x, x² and x³ in the expansion of (1+x² )²(1+x)ⁿ, are…
If (1 ¹⁵ C₀+1 ¹⁵ C₁ ) (1 ¹⁵ C₁+1 ¹⁵ C₂ ) … (1 ¹⁵ C₁₂+1 ¹⁵ C₁₃ )=α¹³ ¹⁴ C₀ ¹⁴ C₁ … ¹⁴ C₁₂, then 30 α is equal to \\\\_.
The coefficient of x⁴⁸ in (1+x)+2(1+x)²+3(1+x)³+…+100(1+x)¹⁰⁰ is equal to
The value of ¹⁰⁰ C₅₀51+ ¹⁰⁰ C₅₁52+….+ ¹⁰⁰ C₁₀₀101 is :
Let the smallest value of k N, for which the coefficient of x³ in (1+x)³ + (1+x)⁴ + (1+x)⁵ + … + (1+x)⁹⁹ + (1+kx)¹⁰⁰, x…
If 26 ((2³)/(3)122 + (2⁵)/(5)124 + (2⁷)/(7)126 + … + 2¹³131212 ) = 3¹³ - α, then α is equal to:
Let S=(1)/(25!)+(1)/(3!23!)+(1)/(5!21!)+… up to 13 terms. If 13 ~S=2kn!, k ~N, then n+k is equal to
If the coefficient of x in the expansion of (a x²+b x+c )(1-2 x)²⁶ is -56 and the coefficients of x² and x³ are both ze…
If the sum of the coefficients of x⁷ and x¹⁴ in the expansion of ((1)/(x³) - x⁴ )ⁿ, x ≠ 0, is zero, then the value of n…
The coefficient of x² in the expansion of (2x² + (1)/(x) )¹⁰, x ≠ 0, is :
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