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Exercise 8.2 Class 11 maths 8. Binomial Theorem - ncert solutions - Toppers Study

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Exercise 8.2 Class 11 maths 8. Binomial Theorem - ncert solutions - Toppers Study

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Exercise 8.2 class 11 Mathematics Chapter 8. Binomial Theorem

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Exercise 8.2 Class 11 Maths 8. Binomial Theorem - Ncert Solutions - Toppers Study
Class 11 Ncert Solutions
Solution Chapter 8. Binomial Theorem Class 11
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Chapter 8. Binomial Theorem Exercise 8.2 Class 11

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8. Binomial Theorem

| Exercise 8.2 |

Exercise 8.2 Class 11 maths 8. Binomial Theorem - ncert solutions - Toppers Study

Exercise 8.2

Find the coefficient of

Q1. x⁵ in (x + 3)⁸

Solution:

(x + 3)⁸

General term ⁿC_ra^n-rb^r

n = 8, then

⁸C_r x^8-r 3^r ⇒ x⁵ = x^8-r

5 = 8-r

∴ r = 8-5 = 3

⁸C₃ x^8-3 3³ = ⁸C₃ x⁵ 3³

Coefficient in x⁵ = ⁸C₃3³

= 1512

Q2. a⁵b⁷ in (a-2b)¹²

Solution:

(a-2b)¹²

General Term T_r+1 = ⁿC_ra^n-rb^r

¹²C_r a^12-rb^r

∴12 – r = 5 ⇒ r = 12 – 5 = 7

a⁵b⁷ is 8 term

T₈ = ¹²C₇a⁵b⁷

= ¹²C₇a⁵ (-2b)⁷

= - 72 × 11 × 2⁷

= - 72 × 11 × 128 = - 101376

Write the general term in the expansion of

Q3. (x² - y)⁶

Solution:

General term of (x² - y)⁶

n = 6, a = x², b = (-y)

General Term T_{r +1} = ⁿC_ra^n-rb^r

= ⁶C_r_(x²)⁶^{-r (-y)}^r

Other Pages of this Chapter: 8. Binomial Theorem

1. Chapter 8. Binomial Theorem | Exercise 8.1

2. Chapter 8. Binomial Theorem | Exercise 8.2

3. Chapter 8. Binomial Theorem | Miscellaneous Exercise on Chapter - 8

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