## ALGEBRAIC EXPRESSIONS, IDENTITIES AND FACTORISATION

*(MCQs)*

**Q1: Which is the like term as 24a²bc?**

(a) 13 × 8a × 2b × c × a

(b) 8 × 3 × a × b × c

(c) 3 × 8 × a × b × c × c

(d) 3 × 8 × a × b × b × c

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(a) 13 × 8a × 2b × c × a

(b) 8 × 3 × a × b × c

(c) 3 × 8 × a × b × c × c

(d) 3 × 8 × a × b × b × c

(Part-4)

English Vocabulary

English is full of phrases or words, which sound the same or comparable yet have distinctive meanings and are sometimes confusing too. Here is the third list of commonly confused words.

Bad, Badly

Bad means poor quality is used as an adjective after verbs like am, feel, is,

Badly means unsatisfactory, inadequate and is used as an adverb.

Here follows few important Laws of Set Operations

1. Idempotent Laws:

(a) A ∪ A = A

(b) A ∩ A = A

NCERT Solutions

Answer:

(i) A ∩ B = {7,9,11}

(ii) B ∩ C = {11, 13}

(iii) A ∩ C ∩ D = {A ∩ C} ∩ D = {11} ∩ {15, 17} = Ï†

(iv) A ∩ C = {11}

(v) B ∩ D = {7, 9, 11, 13} ∩ {15, 17} = Ï†

(vi) A ∩ (B ∪ C)

= {3, 5, 7, 9, 11} ∩ ({7, 9, 11, 13} ∪ {11, 13, 15})

= {3, 5, 7, 9, 11} ∩ {7, 9, 11, 13, 15}

= {7, 9, 11}

(vii) A ∩ D = Ï†

(viii) A ∩ (B ∪ D)

= {3, 5, 7, 9, 11} ∩ ({7, 9, 11, 13} ∪ {15, 17})

= {3, 5, 7, 9, 11} ∩ {7, 9, 11, 13, 15, 17}

= {7, 9, 11}

General Knowledge

1. Arid Zone Research Institute—Jodhpur

2. Central Pollution Control Board—Delhi

3. Central Museum Authority—New Delhi

4. Rehabilitation Institute of Social Forestry and Ecology— Allahabad/Pryagraj

5. G. B, Pant Himalayan Environment and Development Institute— Almora

6. Himalayan Forest Research Centres - Shimla

NCERT Exercise 1.4 Answers

(i) X = {1,3,5} Y = {1,2,3}

(ii) A = {a,e,i,o,u}, B = {a,b,c}

(iii) A = {x : x is a natural number and multiple of 3}

B = {x : x is a natural number less than 6}

(iv) A = {x : x is a natural number and 1 < x ≤ 6 }

B = {x : x is a natural number and 6 < x < 10 }

(v) A = {1, 2, 3}, B = Ï†

Answers:

(i) X = {1,3,5} Y = {1,2,3}

X ∪ Y = {1,2,3,5}

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