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Month: August 2024

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Posted inClass 10th math NCERT Polynomials chapter - 2 Theory related to the polynomials

Important facts, depth in concept about and terms related to an expression and equation

(1) constant quantity; (2) variable quantity; (3) What is a ‘mathematical condition’ in mathematics?; (4) Coefficients; Useful steps for the calculation of the coefficient; (5) Terms in algebra; (6) What…
Posted by The Catalyst Sobha August 30, 2024
Posted inClass 10th math NCERT Real numbers chapter - 1 Real numbers exercise 1.2

NCERT, 10th class, chapter 1, Real Number, Exercise 1.2- full explanation of every question

Q. 1. Prove that √5 is irrational.; Q. 2. Prove that 3+2√5 is irrational.; Q. 3. Prove that followings are irrationals. (i) 1/(√2) , (ii) 7√5 and (iii) (6+√2)
Posted by The Catalyst Sobha August 28, 2024
Posted inClass 10th math NCERT Real numbers chapter - 1 Real numbers exercise 1.1

NCERT class 10th – Real Numbers -Exercise 1.1- Proper explanation of each question

Q. 1. Express each number as a product of its prime factors:(i) 140, (ii) 156, (iii) 3825, (iv) 5005, (v) 7429; Q. 2. Find LCM and HCF of the following…
Posted by The Catalyst Sobha August 26, 2024
Posted inClass 9th math NCERT Number Systems Number Systems exercise 1.3

Some facts about Decimal Numbers

(1)What are decimal numbers?, (2)Steps for converting a rational number into decimal form:, (3) Types of Decimal Numbers- (i) Non-repeating along with termination decimal numbers, (ii) Non-terminating along with repetition…
Posted by The Catalyst Sobha August 25, 2024
Posted inClass 9th math NCERT Number Systems Number Systems exercise 1.2

NCERT, Class 9, Number Systems, Chapter–1, Exercise-1.2 – Stepwise solution of each question

Q.1. State whether the following statements are true or false. Justify your answers. (i) Every irrational number is a real number. (ii) Every point on the number line is of…
Posted by The Catalyst Sobha August 17, 2024
Posted inClass 10th math NCERT Pair of Linear Equations in Two Variables chapter -3 Theory related to Pair of Linear Equations in Two Variables

Some facts about linear equations in two variables we should know

(1) What is degree of an equation?; (2) What are variables?; (3) What is a linear equation?; (4) How to understand a linear equation in multiple variables? (i) A linear…
Posted by The Catalyst Sobha August 16, 2024
Posted inClass 9th math NCERT Number Systems Number systems exercise 1.1

NCERT, Class 9, Number Systems, Chapter–1, Exercise-1.1 – Stepwise proper solution of each question

Q.1. Is zero a rational number? Can you write it in the form p/q, where p and q are integers and q≠0?; Q.2. Find six rational numbers between 3 and…
Posted by The Catalyst Sobha August 15, 2024
Posted inClass 9th math NCERT Number Systems Theory related to Number Systems

Some facts about number system we should know: proper explanation with examples

(1) Definition of natural numbers; (2) Definition of whole numbers; (3) Definition of rational numbers; (4) Definition of integers; (5) Steps for finding multiple rational numbers in between two given…
Posted by The Catalyst Sobha August 14, 2024
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Categories
  • Areas Related to Circles chapter–11
  • Areas Related to Circles Exercise 11.1
  • Arithmetic Progressions Chapter–5
  • Arithmetic Progressions Exercise 5.1
  • Arithmetic Progressions Exercise 5.2
  • Arithmetic Progressions Exercise 5.3
  • Arithmetic Progressions Exercise 5.4
  • Circles Chapter–10
  • Circles Exercise 10.1
  • Circles Exercise 10.2
  • Class 10th math NCERT
  • Class 9th math NCERT
  • Coordinate Geometry Chapter–7
  • Coordinate Geometry Exercise 7.1
  • Coordinate Geometry Exercise 7.2
  • Introduction to Trigonometry Chapter–8
  • Introduction to Trigonometry Exercise 8.1
  • Introduction to Trigonometry Exercise 8.2
  • Introduction to Trigonometry Exercise 8.3
  • Number Systems
  • Number systems exercise 1.1
  • Number Systems exercise 1.2
  • Number Systems exercise 1.3
  • Number Systems exercise 1.4
  • Number Systems exercise 1.5
  • Pair of Linear Equations in Two Variables chapter -3
  • Pair of Linear Equations in Two Variables exercise 3.1
  • Pair of Linear Equations in Two Variables Exercise 3.2
  • Pair of Linear Equations in Two Variables Exercise 3.3
  • Polynomials
  • Polynomials chapter – 2
  • Polynomials exercise 2.1
  • Polynomials exercise 2.2
  • Quadratic Equations Chapter – 4
  • Quadratic Equations Exercise 4.1
  • Quadratic Equations Exercise 4.2
  • Quadratic Equations Exercise 4.3
  • Real numbers chapter – 1
  • Real numbers exercise 1.1
  • Real numbers exercise 1.2
  • Some Application of Trigonometry Chapter–9
  • Some Applications of Trigonometry Exercise 9.1
  • Statistics chapter–13
  • Statistics Exercise 13.1
  • Statistics Exercise 13.2
  • Statistics Exercise 13.3
  • Surface Areas and Volumes chapter–12
  • Surface Areas and Volumes Exercise 12.1
  • Surface Areas and Volumes Exercise 12.2
  • Theory regarding polynomials of class 9
  • Theory related to Number Systems
  • Theory related to Number Systems exercise 1.3
  • Theory related to Pair of Linear Equations in Two Variables
  • Theory related to Quadratic Equations
  • Theory related to the arithmetic Progressions
  • Theory related to the polynomials
  • Theory related to the Triangles
  • Triangles Chapter–6
  • Triangles Exercise 6.1
  • Triangles Exercise 6.2
  • Triangles Exercise 6.3
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