Mathematics questions
18011 published questions with worked solutions.
- 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
- In the expansion of (2x^2- 1x )^ 12 , the term independent of x is
- (1+ C_1 C_0 ) (1+ C_2 C_1 ) (1+ C_3 C_2 ) (1+ C_n C_ n-1 ) is equal to
- Statement 1: _ r=0 ^n(r+1) ^nC_r=(n+2)2^ n-1 . Statement 2: _ r=0 ^n(r+1) , ^nC_r x^r=(1+x)^n+nx(1+x)^ n-1 .
- If (2x^2-x-1 )^5=a_0+a_1x+a_2x^2+ +a_ 10 x^ 10 , then a_2+a_4+a_6+a_8+a_ 10 is equal to
- The sum of the coefficient in the expansion of (1+x-3x^2 )^ 3148 is
- In the expansion of (1+x)^ 50 , the sum of the coefficient of add power of x is