Advertisement Remove all ads

If a and B Denote Respectively the Coefficients of Xm and Xn in the Expansion of ( 1 + X ) M + N , Then Write the Relation Between a and B. - Mathematics

If a and b denote respectively the coefficients of xm and xn in the expansion of \[\left( 1 + x \right)^{m + n}\], then write the relation between a and b.

 
 
Advertisement Remove all ads

Solution

\[\text{ Coefficient of } x^m \text{ in the given expansion } = ^t{m + n}{}{C}_m = a\]

\[\text{ Coefficient of }  x^n \text{ in the given expansion }  = ^{m + n}{}{C}_n = b\]

\[ \therefore a = b \left[ \because^{m + n}{}{C}_m = ^{m + n}{}{C}_n \right]\]

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 18 Binomial Theorem
Q 6 | Page 45
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×