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jee_main_2024_31_jan_morning - Binomial Theorem Topics

Master these core formulas and structures to solve almost any past paper question.

Sample Questions in this Chapter

QUESTION #2 Sum of Coefficients and Limits
Let a be the sum of all coefficients in the expansion of (1 - 2x + 2x^2)^2023 (3 - 4x^2 + 2x^3)^2024 and b = lim_x to 0 left( fracint_0^x fraclog(1 + t)t^2024 + 1 dtx^2 right). If the equations cx^2 + dx + e = 0 and 2bx^2 + ax + 4 = 0 have a common root, where c, d, e in mathbbR, then d : c : e equals
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QUESTION #25 Coefficients in Expansion
In the expansion of (1 + x)(1 - x^2)left(1 + frac3x + frac3x^2 + frac1x^3right)^5, x neq 0, the sum of the coefficient of x^3 and x^-13 is equal to
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