JEE Advanced questions
3844 published questions with worked solutions.
- The number of terms in the expansion of (1+3x+3x^2+x^3)^6 is
- The number of distinct terms in the expansion of (x+y-z)^ 16 is
- The number of real negative terms in the binomial expansion of (1+ix)^ 4n-2 , n N , x>0, is
- The number of rational terms in the expansion of (1+ 2+ [3] 3 )^6 is
- The sum of the rational terms in the expansion of ( 2+ [5] 3 )^ 10 is
- If the 4th term in the expansion of (px+x^ -1 )^m is 2.5 for all x R then
- In the expansion of (1+ax)^n, n N , the coefficients of x and x^2 are 8 and 24 respectively. Then
- In the expansion of (x^3- 1 x^2 )^n, n N , if the sum of the coefficients of x^5 and x^ 10 is 0 then n is
- If the coefficients of the (m+1)th term and the (m+3)th term in the expansion of (1+x)^ 20 are equal then the value of m is
- The coefficient of x^3 in the expansion of (1-x+x^2)^5 is
- If the coefficients of the 2nd, 3rd and 4th terms in the expansion of (1+x)^n, n N , are in AP then n is
- The coefficient of x^3y^4z in the expansion of (1+x+y-z)^9 is
- The coefficient of x^ 13 in the expansion of (1-x)^5(1+x+x^2+x^3)^4 is
- If the rth term is the middle term in the expansion of (x^2- 1 2x )^ 20 then the (r+3)th term is
- If the coefficient of the 5th term be the numerically greatest coefficient in the expansion of (1-x)^n then the positive integral...
- The greatest coefficient in the expansion of (1+x)^ 2n is
- Let f(n)=10^ n +3 4^ n+2 +5, n N. The greatest value of the integer which divides f(n) for all n isNot in JEE syllabus
- 2^ 60 when divided by 7 leaves the remainder
- The sum of the numerical coefficients in the expansion of (1+ x3+ 2y 3 )^ 12 is
- The sum of the last ten coefficients in the expansion of (1+x)^ 19 when expanded in ascending powers of x is