Home
Class 12
MATHS
Statement-1: If underset(r=1)overset(n)(...

Statement-1: If `underset(r=1)overset(n)(sum)r^(3)((.^(n)C_(r))/(.^(n)C_(r-1)))^(2)=196`, then the sum of the coeficients of powerr of xin the expansion of the polynomial `(x-3x^(2)+x^(3))^(n)` is -1. Statement-2: `(.^(n)C_(r))/(.^(n)C_(r-1))=(n-r+1)/(r) AA n in N and r in W`.

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-G) Objective type question (Integer Answer Type Questions)|2 Videos
  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-H) Objective type question (Multiple True-False Type Questions)|2 Videos
  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-D) Objective type question (Linked Comprehension Type Questions)|11 Videos
  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

Similar Questions

Explore conceptually related problems

underset(r=1)overset(n)(sum)r(.^(n)C_(r)-.^(n)C_(r-1)) is equal to

underset(r=0)overset(n-1)(sum)(.^(n)C_(r))/(.^(n)C_(r)+.^(n)C_(r+1)) equals

If sum_(r=1)^(n)r^(3)((C(n,r))/(C(n,r-1)))=14^(2) then n=

Find the sum sum_(r=1)^(n)r^(2)(^nC_(r))/(n_(C_(r-1)))

If (1-x^(3))^(n)=underset(r=0)overset(n)(sum)a_(r)x^(r)(1-x)^(3n-2r) , then the value of a_(r) , where n in N is

f(n)=sum_(r=1)^(n)[r^(2)(*^(n)C_(r)-^(n)C_(r-1))+(2r+1)^(n)C_(r)] then f(30) is

f(n)=sum_(r=1)^(n) [r^(2)(""^(n)C_(r)-""^(n)C_(r-1))+(2r+1)(""^(n)C_(r ))] , then