Welcome to our intensive course designed to help you master the entire NCERT Class 10 Maths! Join Sunit Sir, a renowned educator with years of experience, as he guides you through every chapter and concept, ensuring you are thoroughly prepared for your exams.
In this video, we will dive into the fundamentals of Real Numbers and Polynomials. Here's what you'll learn:
0:00:00 Chapter 1 : Real Numbers
0:01:04 Theorem 1.1 : (Fundamental Theorem of Arithmetic)
0:02:54 Example 1 : Consider the numbers 4n, where n is a natural number.
0:05:36 Example 2 : Find the LCM and HCF of 6 and 20 by the prime factorisation method.
0:09:27 Example 3 : Find the HCF of 96 and 404 by the prime factorisation method. Hence, find their LCM.
0:13:08 Example 4 : Find the HCF and LCM of 6, 72 and 120, using the prime factorization method.
0:17:16 Exercise 1.1
0:17:22 Question 1 : Express each number as a product of its prime factors: (i) 140 (ii) 156 (iii) 3825 (iv) 5005 (v) 7429
0:25:58 Question 2 : Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (i) 26 and 91 (ii) 510 and 92 (iii) 336 and 54
0:37:46 Question 3 : Find the LCM and HCF of the following integers by applying the prime factorization method. (i) 12, 15 and 21 (ii) 17, 23 and 29 (iii) 8, 9 and 25
0:43:00 Question 4 : Given that HCF (306, 657) = 9, find LCM (306, 657).
0:44:38 Question 5 : Check whether 6n can end with the digit 0 for any natural number n.
0:47:18 Question 6 : Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.
0:50:55 Question 7 : There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?
0:54:38 Revisiting Irrational Numbers
0:58:06 Theorem 1.2 : Let p be a prime number. If p divides a2, then p divides a, where a is a positive integer.
1:00:00 Theorem 1.3 : Prove that √2 is irrational
1:07:26 Example 5 : Prove that √3 is irrational
1:13:30 Example 6 : Show that 5 - √3 is irrational
1:17:45 Example 7 : Show that 3√2 is irrational
1:20:25 Question 1 : Prove that √5 is irrational
1:25:07 Question 2 : Prove that 3 + 2√5 is irrational
1:27:21 Question 3 : Prove that the following are irrationals : (i) 1/√2 (ii) 7√5 (iii) 6 + √2
1:35:17 Chapter 2 : Polynomials
1:36:06 Introduction
1:49:06 Geometrical Meaning of the Zeroes of a Polynomial
Schedule: Everyday 4:00 pm to 6:00 pm
Your Class 10 Maths textbook
A notebook for notes and practice problems
A calculator
A dedicated study space
Tips for Success:
Follow the schedule strictly to keep pace.
Pause the video to take notes and solve problems.
Engage in the comment section for doubt clearing with Sunit Sir and fellow students.
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