Mathematics for Standard X

CHAPTER NO.3 PAIR OF LINEAR EQUATIONS IN TWO VARIABLES ( Exercise  3.2 Q.3 and Q.4)

Today we are going to learn Conditions for Consistency of a pair of linear equations in two variables

Now observe the Conditions

Now observe the Q.3 and Q.4 of Exercise 3.2

Video of solutions of Exercise 3.2 ( Q.3 ) is available in following link 

https://youtu.be/K8ZdrnQWirA ( Q.3)

Assignment ( Other examples for practice)

Homework  :- Solve Q.3 and Q.4 of Exercise 3.2 and also Assignment. 

Mathematics for Standard IX

CHAPTER NO.2  POLYNOMIALS
( EXERCISE 2.5 Q.1 and Q.2 )

Today we are going to learn
 1) Some Standard Algebraic Identities and
2) Examples of Algebraic identities

Now observe Some Standard Algebraic identities and their examples

Now observe the Exercise 2.5 ( Q.1 and Q.2 )

Video of solutions of Exercise 2.5 ( Q.1 and Q.2) are available in following link 

https://youtu.be/t7xO3OhRmqY ( Q.1 )

https://youtu.be/SS4wwEiojYQ ( Q.2)

Assignment ( Other examples for practice)

Homework  :- Solve Q.1 and Q.2 of Exercise 2.5 and also Assignment. 

Mathematics for Standard X

CHAPTER NO.3   PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

Today we are going to learn the conditions for solvability of a pair of linear equations in two variables.

Now observe the following table , on comparing the ratios how to write the graphical representation and algebraic interpretation of a pair of linear equations in two variables

Now observe the Q.2 of Exercise 3.2

The video of Q.2 of Exercise 3.2 are available in following link 

https://youtu.be/PZwwjR06kWQ (Q.2)

Assignment ( Other examples for practice)

Homework  :- Solve Q.2 of Exercise 3.2 and also Assignment. 

Mathematics for Standard IX

CHAPTER NO.2   POLYNOMIALS
 ( EXERCISE 2.4 Q.5)

Today we are going to learn how to factories Cubic Polynomial  i.e Exercise 2.4 (Q.5)

Cubic Polynomial :- The Polynomial having degree three.It means Cubic Polynomial always contain three factor.

Now observe the Q.5 of Exercise 2.4

The video of Q.5 of Exercise 2.4 are available in following link 

https://youtu.be/0p9yfO0OTlE ( Q.5 i, ii )

https://youtu.be/Z0BqUE715fQ ( Q.5 iii)

Assignment 

Homework  :- Solve Q.5 of Exercise 2.4 and also Assignment. 

Mathematics for Standard X

CHAPTER NO.3 PAIR OF LINEAR EQUATIONS IN TWO VARIABLES ( Exercise 3.1)

Today we are going to learn

1) Defination of linear equation in two variables and their Standard form

2) How to Represent the linear equations in two variables algebraically and graphically

Defination of linear equation in two variables :-
An equation which can put in the form of  ax + by + c = 0 , where a , b and c are real numbers and a and b are not both zero , is called linear equation in two variables x and y.

Standard form of pair linear equation in two variables

Basic points :-

Now observe the Exercise 3.1 ,

The video of solutions of Exercise 3.1 are available in following link 

https://youtu.be/QbVHYOJQSLs ( Exercise 3.1 Q.1 to Q.3)

Homework  :- Solve Exercise 3.1

Mathematics for Standard IX

CHAPTER No.2 POLYNOMIALS
( Exercise 2.4 )

Today we are going to learn how to factories the Quadratic Polynomial by splitting method.

Now observe the examples,

Now observe the Exercise 2.4 (Q.4) and write the solutions in your own step. 

The video of solutions of Exercise 2.4 ( Q.4) are available in following link. 

https://youtu.be/KWZHlVHmFCQ ( Q.4 i)

https://youtu.be/gYo9O9_my-Q ( Q.4 ii,iii)

https://youtu.be/vJYV2va1W7s ( Q.4 iv)

https://youtu.be/Z0HTUxdOWLI ( extra example)

Assignment ( Other examples for practice)

Homework :- Solve Exercise 2.4 ( Q.4) and also Assignment. 

Mathematics for Standard X

EXTRA EXAMPLES OF CHAPTER NO. 1 AND 2

Contents of chapter no.2 i.e. Polynomials Completed.
Today we are going to learn some important extra examples of chapter no.1 and chapter no.2

Now observe the examples,

Homework  :- Write the solution of this extra examples in your notebook.