Binomial Theorem questions
776 published questions with worked solutions.
- If |x|<1, then 1+n ( 2x 1+x )+ n(n+1) 2! ( 2x 1+x )^2+ is equal to
- The coefficient of x^ -7 in the expansion of [ax- 1 bx^2 ]^ 11 will be
- The coefficient of x^r in the expansion of (1-x)^ -2 is
- If |x|<1, then the coefficient of x^6 in the expansion of (1+x+x^2 )^ -3 is
- The correct matching of List I from List II Column-I (A) (1-x)^ -n (B) (1+x)^ -n (C) If x>1, then 1+ 1x+ 1 x^2 + is (D) If |x|>1,...
- The coefficient of x^n in the expansion of (1+x)(1-x)^n is
- The coefficient of the middle term in the binomial expansion in powers of x of (1+ x)^4 and of (1- x)^6 is the same, if equals
- The term independent of x in the expansion of ( 2 x 5- 1 2x x )^ 11 is
- The coefficient of the term independent of x in the expansion of [ x+1 x^ 2/3 -x^ 1/3 +1 - x-1 x-x^ 1/2 ]^ 10 is
- The term independent of x in the expansion of (x- 1x )^4 (x+ 1x )^3 is
- Coefficient of the term independent of x in the expansion (x+ 1 x^2 )^6 is equal to
- The sum of coefficients of the expansion ( 1x+2x )^n is 6561. The coefficient of term independent of x is
- The coefficient of the middle term in the expansion of (x+2y)^6 is
- If in the expansion of (3x- 2 x^2 )^ 15 , r^ th term is independent of x, then value of r is
- The coefficient of term independent of x in [ x3 + 3 x^2 ]^ 10 is
- The constant term in the expansion of (x^2- 1x )^9 is
- The greatest term in the expansion of (1+3x)^ 54 , where x= 13 is
- The greatest term in the expansion of 3 (1+ 1 3 )^ 20 is
- For |x|<1, the constant term in the expansion of 1 (x-1)^2(x-2) is
- The term independent of x in the expansion of (x^3+ 2 x^2 )^ 15 is
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