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C.B.S.E Solution

Chapter 9 – Sequences and Series (Ex – 9.3)

Sequences and Series (Ex – 9.3) Question 1.Find the 20th and nth terms of the G.P. 5/2,5/4,5/8, …. Solution: Question 2.Find the 12th term of a G.P. whose 8th term is 192 and the common ratio is 2. Solution:We have, as = 192, r = 2 Question 3.The 5th, 8th and 11th terms of a G.P. are p, q and s, respectively.

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Chapter 8 – Binomial Theorem (Ex – 8.2)

Binomial Theorem (Ex – 8.2) Question 1.Find the coefficient of x5 in (x + 3)8 Solution.Suppose x5 occurs in the (r + 1)th term of the expansion (x + 3)8 Question 2.a5 b7in (a-2b)12 Solution.Suppose a5 b7 occurs in the (r + 1)th term of the expansion (a – 2b)12. Write the general term in the expansion of Question 3.(x2 – y)6 Solution.

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Chapter 8 – Binomial Theorem (Ex – 8.1)

Binomial Theorem (Ex – 8.1) Expand each of the expressions in Exercises 1 to 5. Question 1.(1−2x)5 Solution. Question 2.(2/x−x/2)5 Solution. Question 3.(2x−3)6 Solution. Question 4.(x/3+1/x)5 Solution. Question 5.(x+1/x)6 Solution. Using binomial theorem, evaluate each of the following Question 6.(96)3 Solution. Question 7.(102)5 Solution. Question 8.(101)4 Solution. Question 9.(99)5 Solution. Question 10.Using Binomial Theorem, indicate

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Chapter 7 – Permutations and Combinations (Ex – 7.4)

Permutations and Combinations (Ex – 7.4) Question 1.If nC8 = nC2, find nC2. Solution.We have, nC8 = nC2 Question 2.Determine n if(i) 2nC3: nC3 =12 : 1(ii) 2nC3: nC3= 11 : 1 Solution. Question 3.How many chords can be drawn through 21 points on a circle? Solution. Question 4.In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and

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Chapter 7 – Permutations and Combinations (Ex – 7.3)

Permutations and Combinations (Ex – 7.3) Question 1.How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated? Solution.Total digits are 9. We have to form 3 digit numbers without repetition.∴ The required 3 digit numbers = 9P3=9!/6!=9×8×7×6!/6!=504 Question 2.How many 4-digit numbers are there with no digit

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