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Yukti Vault

Algebra

Binomial Theorem: JEE Main & Advanced PYQs

303 previous year questions on Binomial Theorem from JEE Main and JEE Advanced papers, each with its exam and year, an answer and a solution.

Topics covered: Binomial Theorem for Any Index, Coefficient of a Given Power / Term Independent of x, General Term and Middle Term, Greatest Term and Greatest Coefficient, Integral and Fractional Part of (√a+b)^n, Miscellaneous, Multinomial Expansion, Properties and Sums of Binomial Coefficients, Rational and Integral Terms, Remainder and Divisibility.

Practice this chapter

Questions 301-303 of 303

  1. If the coefficients of $x^{3}$ and $x^{4}$ in the expansion of $\left(1+ax+bx^{2}\right)(1-2x)^{18}$ in powers of $x$ are both zero, then $(a,b)$ is equal to:
  2. The sum of coefficients of integral powers of $x$ in the binomial expansion $\left(1-2\sqrt x\right)^{50}$ is :
  3. For the natural numbers $m,\ n$, if $(1-y)^m(1+y)^n=1+a_1y+a_2y^2+\cdots+a_{m+n}y^{m+n}$ and $a_1=a_2=10$, then the value of $(m+n)$ is equal to :

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