Pair of linear equations in two variables class 10 | CBSE | NCERT One Shot

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Timestamps:
0:00 Introduction
0:17 Why to study linear equations in 2 variables?
3:05 Define linear equations in 2 variables?
3:35 Solving Pair of Linear Equations in 2 Variables
5:12 General form:Linear Equations in 2 variables
6:59 Graphical Method:Linear Equations in 2 Variables
9:47 Represent Algebraically & Graphically
16:45 Represent Graphically
23:06 Find solution Graphically
28:47 Relation between a1,b1,c1,a2,b2,c2
38:35 Question 1
39:41 Question 2
41:48 Substitution Method Steps
47:34 Elimination Method
48:37 Elimination Method:Finite number of solution
52:31 Elimination Method:Infinite number of solution
53:42 Question1
56:50 Question 2
59:13 Cross Multiplication method:Steps
1:02:42 Cross Multiplication method:Memory tip
1:05:13 Cross Multiplication method:No Solution
1:05:54 Cross Multiplication method:Finite Solution
1:08:28 Cross Multiplication method:Infinite Solution
1:08:58 Question 1
1:13:29 Question 2
1:17:56 Equations Reducible to pair of linear equations
1:20:08 Question 1
1:23:42 Question 2
1:27:57 Question 3
In this video, we will cover:
1. General form of pair of linear equations in two variables.
2.Represent Algebraically & Graphically
8. Aftab tells his daughter, “Seven years ago, I was seven times as old as you were then.Also, three years from now, I shall be three times as old as you will be.” Represent this situation algebraically and graphically.
9. The cost of 2 kg of apples and 1kg of grapes on a day was found to be Rs160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300. Represent the situation algebraically and geometrically.
10. Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden. 11. Which of the following pairs of linear equations are consistent/inconsistent? If consistent, obtain the solution graphically: 12. On comparing the ratios, find out whether the following pair of linear equations are consistent, or inconsistent. 5x - 4y + 8 = 0, 7x + 6y - 9 = 0.
13. The sum of a two-digit number and the number obtained by reversing the digits is 66. If the digits of the number differ by 2, find the number. How many such numbers are there?
14. The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is Rs.105 and for a journey of 15 km, the charge paid is Rs. 155. What are the fixed charges and the charge per km? How much does a person have to pay for travelling a distance of 25 km?
15. Meena went to a bank to withdraw Rs 2000. She asked the cashier to give her Rs 50 and Rs100 notes only. Meena got 25 notes in all. Find how many notes of Rs50 and Rs 100 she received.
16. The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle.
17. Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars?
18. A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km down-stream. Determine the speed of the stream and that of the boat in still water.
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