- This page has links to complete syllabus of NCERT Chapter 4 Quadratic Equations based on syllabus recommended by CBSE based on class 10 maths.
- There are 5 video lectures having explanations from basic to advance concepts, each and every NCERT solutions, questions and all important examples. You can access them directly from the lecture menu or just scroll down the page.
- All lecture were uploaded on YouTube so for better learning experience here you will find link to YouTube Playlist of Chapter 4 Quadratic Equations.
- Also, there are detailed highlights of each video lecture with exact timestamp links so that you can easily access all topics and questions directly.
**Just click on the timestamp link**and you will be redirected to video watch page at exactly that time.- You can ask doubts in Quadratic Equations at the end of this page.

##### NCERT INDEX

## DIRECT YOUTUBE LINKS

##### 4(A) || Exercise 4.1

00:00:30 Meaning and Standard form of Quadratic Equations

00:05:47 NCERT Exercise 4.1 Question 1

00:17:37 NCERT Exercise 4.1 Question 2 part (i) The area of a rectangular plot is 528 m2. The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot.

00:22:00 NCERT Exercise 4.1 Question 2 part (ii) The product of two consecutive positive integers is 306. We need to find the integers.

00:24:27 NCERT Exercise 4.1 Question 2 part (iii) Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age.

00:27:27 NCERT Exercise 4.1 Question 2 part (iv) A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.

##### 4(B) || Exercise 4.2

00:00:30 Introduction to solutions of quadratic equations

00:07:40 NCERT Exercise 4.2 Question 1 part (i) (ii) (iii) (iv) (v)

00:30:51 NCERT Exercise 4.2 Question 3 Find two numbers whose sum is 27 and product is 182.

00:36:41 NCERT Exercise 4.2 Question 4 Find two consecutive positive integers, sum of whose squares is 365.

00:41:51 NCERT Exercise 4.2 Question 5 The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.

##### 4(C) || Exercise 4.3

00:01:06 NCERT Exercise 4.2 Question 6 A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was ₹ 90, find the number of articles produced and the cost of each article.

00:09:46 NCERT Exercise 4.2 Question 2 Example 1

(i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.

(ii) A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was ₹ 750. We would like to find out the number of toys produced on that day.

00:21:56 NCERT Exercise 4.3 Question 1 Completing the square method

##### 4(D) || Exercise 4.3

00:00:40 Derivation for Quadratic formula

00:23:00 NCERT Exercise 4.3 Question 3

00:32:00 NCERT Exercise 4.3 Question 4 The sum of the reciprocals of Rehman’s ages, (in years) 3 years ago and 5 years from now is 1/3. Find his present age.

00:36:50 NCERT Exercise 4.3 Question 5 In a class test, the sum of Shefali’s marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects.

00:43:10 NCERT Exercise 4.3 Question 6 The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.

##### 4(E) || Exercise 4.3

00:00:42 NCERT Exercise 4.3 Question 7 The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.

00:07:02 NCERT Exercise 4.3 Question 8 A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train.

00:16:12 NCERT Exercise 4.3 Question 9 Two water taps together can fill a tank in 75/8 hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

00:30:32 NCERT Exercise 4.3 Question 10 An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11km/h more than that of the passenger train, find the average speed of the two trains.

##### 4(F) || Exercise 4.4

00:00:30 NCERT Exercise 4.3 Question 11 Sum of the areas of two squares is 468 m2. If the difference of their perimeters is 24 m, find the sides of the two squares.

00:08:51 NCERT Exercise 4.4 Question 1 Nature of Roots of Quadratic Equations

00:23:01 NCERT Exercise 4.4 Question 2

00:27:11 NCERT Exercise 4.4 Question 3 Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m2? If so, find its length and breadth.

00:31:41 NCERT Exercise 4.4 Question 4 Is the following situation possible? If so, determine their present ages. The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.

00:36:21 NCERT Exercise 4.4 Question 5 Is it possible to design a rectangular park of perimeter 80 m and area 400 m2? If so, find its length and breadth.