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    • Real numbers chapter – 1Class 10th math NCERT solution by the catalyst sobha. Get step wise solution of all questions of NCERT math 10th class real numbers.
      • Real numbers exercise 1.1Real number exercise step wise solution of all questions of NCERT math 10th class
      • Real numbers exercise 1.2Real number exercise step wise solution of all questions of NCERT math 10th class
    • Polynomials chapter–2 class 9Step wise solution of every question along with detailed description of each point in relation to NCERT math 9th class Polynomial chapter by The Catalyst Sobha.
      • Polynomials chapter – 2Get step wise solution of all questions of NCERT math 10th class polynomial
      • Polynomials exercise 2.1Class 10th math NCERT solution by the catalyst sobha. Get step wise solution of all questions and crystal clear understanding with examples about the polynomials of NCERT math 10th class.
      • Polynomials exercise 2.2Class 10th math NCERT solution by the catalyst sobha. Get step wise solution of all questions and crystal clear understanding with examples about the polynomials of NCERT math 10th class.
    • Pair of Linear Equations in Two Variables chapter -3Get step wise solution of all questions of NCERT math 10th class Pair of Linear Equations in Two Variables
      • Theory related to Pair of Linear Equations in Two VariablesClass 10th math NCERT solution by the catalyst sobha. Get step wise and crystal clear understanding with examples about Pair of Linear Equations of NCERT math 10th class.
      • Pair of Linear Equations in Two Variables exercise 3.1Class 10th math NCERT solution by the catalyst sobha. Get step wise solution of all questions and crystal clear understanding with examples about the Pair of Linear Equations in Two Variables of NCERT math 10th class.
      • Pair of Linear Equations in Two Variables Exercise 3.2Class 10th math NCERT solution by the catalyst sobha. Get step wise solution of all questions and crystal clear understanding along with proper explanation related to the Pair of Linear Equations in Two Variables of NCERT math 10th class.
      • Pair of Linear Equations in Two Variables Exercise 3.3Class 10th math NCERT solution by the catalyst sobha. Get step wise solution of all questions and crystal clear understanding along with proper explanation related to the Pair of Linear Equations in Two Variables of NCERT math 10th class.
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NCERT, Class 9, Polynomials, Chapter–2, Exercise-2.2– Exact solution of every question
June 4, 2025
NCERT, Class 9, Polynomials, Chapter–2, Exercise-2.1– Perfect approach to every question
May 27, 2025
NCERT, Class 10, Probability, Chapter–14, Exercise-14.1– Unique approach to every question
May 13, 2025
NCERT, Class 10, Statistics, Chapter–13, Exercise-13.3– Perfect approach to every question
April 5, 2025
NCERT, Class 10, Statistics, Chapter–13, Exercise-13.2– Proper explanation of each question
March 23, 2025
NCERT, Class 10, Statistics, Chapter–13, Exercise-13.1– Elaborated explanation of every question
March 13, 2025
NCERT, Class 10, Surface Areas and Volumes, Chapter–12, Exercise-12.2– Exact explanation of every question
February 27, 2025
NCERT, Class 10, Surface Areas and Volumes, Chapter–12, Exercise-12.1 – proper explanation of every question
February 12, 2025
NCERT, Class 10, Areas Related to Circles, Chapter–11, Exercise-11.1 – proper explanation of every question
January 24, 2025
NCERT, Class 10, Circles, Chapter–10, Exercise-10.2 – Perfect explanation of every question with proper figure of every aspect
January 5, 2025
NCERT, Class 10, Circles, Chapter–10, Exercise-10.1 – Perfect explanation of every question
December 27, 2024
NCERT, Class 10, Some Applications of Trigonometry, Chapter–9, Exercise-9.1 – Exact approach to each question with proper figure and explanation
December 22, 2024
NCERT, Class 10, Introduction to Trigonometry, Chapter–8, Exercise-8.3 – proper explanation of every question
December 15, 2024
NCERT, Class 10, Introduction to Trigonometry, Chapter–8, Exercise-8.2 – step wise explanation of every question
December 10, 2024
NCERT, Class 10, Introduction to Trigonometry, Chapter–8, Exercise-8.1 – Perfect explanation of every question
December 7, 2024
NCERT, Class 10, Coordinate Geometry, Chapter–7, Exercise-7.2 – Exact explanation of each question
December 3, 2024
NCERT, Class 10, Coordinate Geometry, Chapter–7, Exercise-7.1 – Proper explanation of each question
November 29, 2024
NCERT, Class 10, Triangles, Chapter–6, Exercise-6.3 – To the point approach to each question with proper figure and explanation
November 24, 2024
NCERT, Class 10, Triangles, Chapter–6, Exercise-6.2 – Exact approach to each question with proper figure and explanation
November 3, 2024
NCERT, Class 10, Arithmetic Progressions, Chapter–5, Exercise-5.4 – Exact explanation of each question
October 30, 2024
Some facts about the similarity we must know
October 29, 2024
NCERT, Class 10, Triangles, Chapter–6, Exercise-6.1 – Exact explanation of each question with proper figure
October 26, 2024
Some facts about angles, triangles, congruency and similarity- we must know
October 24, 2024
NCERT, Class 10, Arithmetic Progressions, Chapter–5, Exercise-5.3 – Proper explanation along with step wise solution of each question
October 19, 2024
NCERT, Class 10, Arithmetic Progressions, Chapter–5, Exercise-5.2 – Step wise properly explained solution of each question
October 14, 2024
NCERT, Class 10, Arithmetic Progressions, Chapter–5, Exercise-5.1 – Step wise solution of every question with proper explanation
October 6, 2024
Some facts about arithmetic progression (A.P.)
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NCERT, Class 10, Quadratic Equations, Chapter–4, Exercise-4.3 – Step wise solution of every question with proper explanation
October 3, 2024
NCERT, Class 10, Quadratic Equations, Chapter–4, Exercise-4.2 – Step wise solution of each question with complete explanation
September 26, 2024
NCERT, Class 10, Quadratic Equations, Chapter–4, Exercise-4.1 – Step wise solution of each question with complete explanation
September 22, 2024
Methods for solving a Quadratic Equation – Detailed step wise explanation of every method
September 21, 2024
Some facts about the Quadratic Equation we should know:
September 19, 2024
NCERT, Class 10, Pair of Linear Equations in Two Variables, Chapter–3, Exercise-3.3 – Step wise solution of each question with complete explanation
September 18, 2024
Algebraic Identities
September 18, 2024
NCERT, Class 10, Pair of Linear Equations in Two Variables, Chapter–3, Exercise-3.2 – Stepwise solution with proper explanation of each question
September 12, 2024
NCERT, Class 10, Pair of Linear Equations in Two Variables, Chapter–3, Exercise-3.1 – Stepwise solution with proper graph of each question
September 9, 2024
NCERT, Class 9, Number Systems, Chapter–1, Exercise-1.5 – Stepwise solution of each question
September 7, 2024
NCERT, Class-10th, Chapter-2, Polynomials, Exercise-2.1- Proper solution of each question on graph paper
September 6, 2024
NCERT, Class 9, Number Systems, Chapter–1, Exercise-1.4 – Stepwise clear solution of each question
September 5, 2024
NCERT, Class 10, Polynomials, Chapter–2, Exercise-2.2 – Stepwise proper explanation of each question
September 4, 2024
Polynomials: definition and its classification
September 2, 2024
NCERT class 9th- Number System -Exercise 1.3- Proper explanation of each question
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Important facts, depth in concept about and terms related to an expression and equation
August 30, 2024
NCERT, 10th class, chapter 1, Real Number, Exercise 1.2- full explanation of every question
August 28, 2024
NCERT class 10th – Real Numbers -Exercise 1.1- Proper explanation of each question
August 26, 2024
Some facts about Decimal Numbers
August 25, 2024
NCERT, Class 9, Number Systems, Chapter–1, Exercise-1.2 – Stepwise solution of each question
August 17, 2024
Some facts about linear equations in two variables we should know
August 16, 2024
NCERT, Class 9, Number Systems, Chapter–1, Exercise-1.1 – Stepwise proper solution of each question
August 15, 2024
Some facts about number system we should know: proper explanation with examples
August 14, 2024
Posted inClass 9th math NCERT Polynomials chapter–2 class 9 Polynomials exercise-2.2 class-9

NCERT, Class 9, Polynomials, Chapter–2, Exercise-2.2– Exact solution of every question

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Posted inClass 9th math NCERT Polynomials chapter–2 class 9 Polynomials exercise-2.1 class-9

NCERT, Class 9, Polynomials, Chapter–2, Exercise-2.1– Perfect approach to every question

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Posted inClass 10th math NCERT Probability chapter–14 Probability Exercise 14.1

NCERT, Class 10, Probability, Chapter–14, Exercise-14.1– Unique approach to every question

Q.1. Complete the following statements: (i) Probability of an event E + Probability of the event ‘not E’ = _ _ _  (ii) The probability of an event that cannot…
Posted inClass 10th math NCERT Statistics chapter–13 Statistics Exercise 13.3

NCERT, Class 10, Statistics, Chapter–13, Exercise-13.3– Perfect approach to every question

Q.1. The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the median, mean and mode of the data and compare them. Q.2.…
Posted inClass 10th math NCERT Statistics chapter–13 Statistics Exercise 13.2

NCERT, Class 10, Statistics, Chapter–13, Exercise-13.2– Proper explanation of each question

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Posted inClass 10th math NCERT Statistics chapter–13 Statistics Exercise 13.1

NCERT, Class 10, Statistics, Chapter–13, Exercise-13.1– Elaborated explanation of every question

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

Polynomials: definition and its classification

(1) Definition of Polynomials; (2) Basis of Classification of polynomials: (A) Classification of polynomials on the basis of number of terms- (a) Monomials, (b) Binomials, (c) Trinomials, (d) Quadronomials; (B)…
Posted by The Catalyst Sobha September 2, 2024
Posted inClass 9th math NCERT Number Systems Number Systems exercise 1.3

NCERT class 9th- Number System -Exercise 1.3- Proper explanation of each question

Q.1. Write the following in decimal form and say what kind of decimal expansion each has:(i) 36/100, (ii) 1/11, (iii) 41/8 , (iv) 3/13, (v) 2/11, (vi) 329/400 ; Q.2.…
Posted by The Catalyst Sobha September 1, 2024
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 chapter – 2
  • Polynomials chapter–2 class 9
  • Polynomials exercise 2.1
  • Polynomials exercise 2.2
  • Polynomials exercise-2.1 class-9
  • Polynomials exercise-2.2 class-9
  • Probability chapter–14
  • Probability Exercise 14.1
  • 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
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  • Triangles Chapter–6
  • Triangles Exercise 6.1
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