mathematics

Class 9 | Chapter 4 | Linear Equations in Two Variables | Example 5

Example 5: Given the point (1, 2), find the equation of a line on which it lies. How many such equations are there? Example 3 & 4 Example 6

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Class 9 | Chapter 4 | Linear Equations in Two Variables | Example 3 & 4

Example 3: Find four different solutions of the equation x + 2y = 6. Example 4: Find two solutions for each of the following equations: (i) 4x+3y=12 (ii) 2x+5y=0 (iii) 3y+4=0 Example 1 & 2 Example 5

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Class 9 | Chapter 4 | Linear Equations in Two Variables | Example 1 & 2

Example 1: Write each of the following equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:(i) 2x + 3y = 4.37 (ii) x – 4 =…

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Class 10 | Chapter 1 | Real Numbers | Exercise 1.2

Question 1: Express each number as a product of its prime factors: (i) 140 (ii) 156 (iii) 3825 (iv) 5005 (v) 7429 Question 2: Find the LCM and HCF of the following pairs of integers and verify that LCM ×…

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Class 10 | Chapter 1 | Real Numbers | Exercise 1.1

Question 1: Use Euclid’s division algorithm to find the HCF of :(i) 135 and 225 (ii) 196 and 38220 (iii) 867 and 255 Question 2: Show that any positive odd integer is of the form 6q+1, or 6q+3, or 6q+5,…

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Class 10 | Chapter 1 | Real Numbers | Examples

Example 1 : Use Euclid’s algorithm to find the HCF of 4052 and 12576. Example 2: Show that every positive even integer is of the form 2q, and that every positive odd integer is of the form 2q + 1,…

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Class 10 | Chapter 1 | Real Numbers | Theorems & Concepts

Theorem 1.1 (Euclid’s Division Lemma) : Given positive integers a and b, there exist unique integers q and r satisfying a = bq + r, 0 ≤ r < b. Euclid’s Division Algorithm : This algorithm is used to find…

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Axioms – Lines and Angles

Class 9 | Chapter 6 | Axiom 6.1, 6.2, 6.3, 6.4 | Mathematics NCERT This is a video tutorial that covers the following: Definitions of axiom Ray Line Line segment and their representation Adjacent angles Corresponding angles. Axiom 6.1 – If…

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