The Catalyst Sobha – Page 5 – Math Solution CBSE Board

Class 9th math NCERT Number Systems Number Systems exercise 1.4

NCERT, Class 9, Number Systems, Chapter–1, Exercise-1.4 – Stepwise clear solution of each question

Q.1. Classify the following numbers as rational or irrational: (i) 2–√5, (ii) (3+√23) –√23, (iii) (2√7)/(7√7),(iv) 1/(√2), (v) 2π ; Q.2. Simplify each of the following expressions: (i) (3 +…

The Catalyst Sobha September 5, 2024

Class 10th math NCERT Polynomials chapter - 2 Polynomials exercise 2.2

NCERT, Class 10, Polynomials, Chapter–2, Exercise-2.2 – Stepwise proper explanation of each question

Q.1. Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and coefficient. (i) x^2–2x–8 , (ii) 4s^2–4s + 1, (iii) 6x^2– 3 – 7x,…

The Catalyst Sobha September 4, 2024

Class 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)…

The Catalyst Sobha September 2, 2024

Class 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.…

The Catalyst Sobha September 1, 2024

Class 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…

The Catalyst Sobha August 30, 2024

Class 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)

The Catalyst Sobha August 28, 2024

Class 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…

The Catalyst Sobha August 26, 2024

Class 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…

The Catalyst Sobha August 25, 2024

Class 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…

The Catalyst Sobha August 17, 2024

Class 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…

The Catalyst Sobha August 16, 2024