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Showing posts from July, 2022

### Math Assignment Class VIII | Square & Square Root

Math Assignment  Class VIII | Square & Square Root Download or Print free  assignment with answer key  for   Class  8 Squares and  Square Roots.   Important and extra questions that cover all topics of square and square root and is useful and helpful for the students. Math Assignment  Class VIII | Square & Square Root LEVEL -1

### Math Class 11 Ch-1 NCERT Sol. | Miscellaneous Exercise

Class 11  Chapter -1 Set Theory Miscellaneous Exercise NCERT solution of chapter 1, class 11, miscellaneous exercise, Union of sets, intersection of sets, complement of sets and Venn diagram of sets, word problems on sets. Q1) A = {x : x ∈ R and x satisfy x 2 -8x+12 = 0} B = {2, 4, 6},  C = {2, 4, 6, 8, ....}, D = {6} Solution: x 2  - 8x + 12 = 0 ⇒ x 2  - 6x - 2x + 12 = 0 ⇒ x(x - 6) -2(x - 6) = 0 ⇒ (x - 2)(x - 6) = 0 ⇒ x = 2, x = 6 ⇒ A = {2, 6} A ⊂ B,  A ⊂ C, B ⊂ C, D ⊂ A,  D ⊂ B,  D ⊂ C Q2) (i) If x ∈ A and A∈B, then x ∈ B Ans:  False Statement Reason: If A = {1,2}, B={{1,2}, 3} Here 1∈A and A ∈ B but 1 ∉ B So given statement is false (ii) If A ⊂ B and B ∈ C, then A ∈ C Let A = {1}, B={1, 2}, C ={{1, 2}, 3} Here  A ⊂ B  and B ∈ C,  But 1∉ C So this is a false statement (iii) If A ⊂ B and B ⊂ C, then A ⊂ C Ans: True Statement Explanation:  Let A={1}, B={1,2}, C = {1,2,3} Here  1 ∈ A and 1 ∈ B  ⇒ A  ⊂ B .... (1) 1, 2 ∈ B and 1,2 ∈ C  ⇒ B  ⊂ C ....... (2) From (1) and (2) we get  A ⊂ C

### Resource Centre Mathematics

Resource Centre Mathematics Mathematics worksheet, mathematics basic points and formulas, mathematics lesson plan, mathematics multiple choice questions Workplace Dashboard CBSE Syllabus For Session 2023-24 For  :   Classes IX & X    |   Classes XI & XII Watch Videos on Maths Solutions CLASS IX MATHEMATICS FORMULAS &  BASIC CONCEPTS

### Common Errors in Class 12 Mathematics

COMMON ERRORS DONE BY STUDENTS   Class 12, Mathematics:  Common errors or common mistakes done by students while solving the questions in the examination, Common mistakes done by the students of class XII while solving the mathematical problems. Chapter 1 Relations and Functions Let A = { 1, 2, 3}. Check whether R = { (1, 2), (2, 1), (1, 1), (1, 3)} is symmetric or not. Common Error : Here, (1, 2) ∈ R , (2,1) ∈ R. So, it is symmetric. Correction : The student thinks that only an ordered pair is to check for Symmetric. So, he forgets to check for (1, 3). If A = {1, 2, 3}, check whether R = {(1, 1), (1, 2), (2, 1)} is transitive or not. Common Error : (1,2) ∈ R , (2,1) ∈ R ⇒ that (1,1) ∈ R. So it is transitive.  Correction : Here the student forgets to see for (2, 1) ∈ R , (1, 2) ∈ R implies (2, 2) ∈ R or not Show that relation R in the set A ={1, 2, 3, 4, 5 } given by R = {(a, b) : |a - b| is even }, is an equivalence relation. Common Error : Student forget to write ± while proving tran