Class XI Chapter 8 – Binomial Theorem Maths ______________________________________________________________________________ Exercise 8.2 Question 1: Find the coefficient of Solution 1: It is known that T C a b r1 n nr r r Assuming that 5 x 8 8 r r r1 r 3 T C x 5 x r 1 th in 8 x 3 term, occurs in the Comparing the indices of x in We obtain r = 3 Thus, the coefficient of 5 x is 5 x C Tr 1 1 th , in the binomial expansion of r term of the expansion x 3 8 in 3 T , r 1 8! 87 65! 3 3 3 1512 3!5! 32.5! 8 3 3 3 a b n , we obtain . is given by Question 2: Find the coefficient of Solution 2: It is known that T C a b r1 n nr r r Assuming that 5 7 ab r 1 th 5 7 ab in 12 a 2b Tr 1 term, , in the binomial expansion of n occurs in the 1 th 12 12 12 r 12 1 2 r 2 r r r r r r T C a b C a b Comparing the indices of a and b in We obtain r = 7 Thus, the coefficient of C 5 7 ab is a b r term of the expansion a 2b 12 5 7 ab in T , r 1 12! 12**11**.10987! 2 2 2 792 128 101376 7!5! 54.327! 7 7 12 7 7 . is given by , we obtain Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 8 – Binomial Theorem Maths ______________________________________________________________________________ Question 3: Write the general term in the expansion of 6 Solution 3: x 2 y It is known that the general term Tr 1 {which is the a b n is given by T C a b r1 n nr r r Thus, the general term in the expansion of 6 6 2 r r 6 12 2 1 1 r . r . r r r r T C x y C x y . x y 2 6 r 1 th is term} in the binomial expansion of Question 4: Write the general term in the expansion of 12 Solution 4: It is known that the general term n a b is given by r1 Tr 1 T C a b n nr r r . 2 x yx x , 0 {which is the Thus, the general term in the expansion of 12 x 2 yx r 1 th 12 2 12r r r 12 242r r r 12 24r r r1 r 1 r. . 1 r. . T C x yx C x y C x y is term} in the binomial expansion of Question 5: Find the 4 th term in the expansion of 12 Solution 5: It is known T C a b n nr r r1 r . r 1 th x 2y . term, Tr 1, in the binomial expansion of Thus, the 4 th 2 term in the expansion of 12 x 2y is a b n is given by 12! 12**11**10 T T C x y x y x y x y 3!9! 32 12 12 3 3 3 9 3 3 3 9 3 9 3 4 31 3 2 1 2 2 1760 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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Class XI Chapter 12 - Introduction

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