Binomial Theorem for Positive Integral Index

JEE Main Mathematics · Binomial Theorem · 7 questions, latest first

• The sum of all possible values of n ∈ N, so that the coefficients of x, x^2 and x^3 in the expansion of (1+x^2)^2(1+x)^n, are in…202623 January, Shift 1 · Q6
• If the coefficient of x in the expansion of (a x^2+b x+c)(1-2 x)^26 is -56 and the coefficients of x^2 and x^3 are both zero,…202621 January, Shift 1 · Q7
• If in the expansion of (1+x)^p(1-x)^q, the coefficients of x and x^2 are 1 and -2, respectively, then p^2+q^2 is equal to:202523 January, Shift 2 · Q6
• Let α, β, γ and δ be the coefficients of x^7, x^5, x^3 and x respectively in the expansion of (x+√(x^3-1))^5+(x-√(x^3-1))^5, x>1.…202522 January, Shift 2 · Q8
• If A denotes the sum of all the coefficients in the expansion of (1-3 x+10 x^2)^n and B denotes the sum of all the coefficients…202427 January, Shift 1 · Q6
• The mean of the coefficients of x, x^2, …, x^7 in the binomial expansion of (2+x)^9 is ____.202311 April, Shift 1 · Q21
• If the coefficients of x and x^2 in (1+x)^p(1-x)^q are 4 and -5 respectively, then 2 p+3 q is equal to202310 April, Shift 2 · Q6