Algebrical and graphical representation of pair of linear equation in two variables.(Make table 3.4).
This is a question of CBSE class 10th. Plzzz answer this question I will mark the answer as the brainliest answer.
viditjain:
full answer with algebrical and graphical representation
table no. 3.4 from the NCERT book
Answers
Answered by
32
Hey
Here is your answer,
Information:
A pair of linear equations can be represented and solved by the following methods:
✔Graphical method
✔Algebraic method
Graphical Method:
✔For a given pair of linear equations in two variables, the graph is represented by two lines.
✔If the lines intersect at a point, that point gives the unique solution for the two equations. If there is a unique solution of the given pair of equations, the equations are called consistent.
✔If the lines coincide, there are indefinitely many solutions for the pair of linear equations. In this case, each point on the line is a solution. If there are infinitely many solutions of the given pair of linear equations, the equations are called dependent (consistent).
✔If the lines are parallel, there is no solution for the pair of linear equations. If there is no solution of the given pair of linear equations, the equations are called inconsistent.
Algebraic Method:
There are following methods for finding the solutions of the pair of linear equations:
✔Substitution method
✔Elimination method
✔Cross-multiplication method
a pair of linear equations is given by a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 then following situations can arise.
Situation 1:
a1/a2=/ b1/b2
In this case, the pair of linear equations is consistent. This means there is unique solution for the given pair of linear equations. The graph of the linear equations would be two intersecting lines.
Situation 2:
a1/a2 = b1/b2 =/ c1/c2
In this case, the pair of linear equations is inconsistent. This means there is no solution for the given pair of linear equations. The graph of linear equations will be two parallel lines.
Situation 3:
a1/a2 = b1/b2 = c1/c2
In this case, the pair of linear equations is dependent and consistent. This means there are infinitely many solutions for the given pair of linear equations. The graph of linear equations will be coincident lines.
For graph : https://gradestack.com/CBSE-Class-10th-Course/Pair-of-Linear-Equations/Graphical-Method-of/15041-3000-5155-study-wtw
Hope it helps you!
Here is your answer,
Information:
A pair of linear equations can be represented and solved by the following methods:
✔Graphical method
✔Algebraic method
Graphical Method:
✔For a given pair of linear equations in two variables, the graph is represented by two lines.
✔If the lines intersect at a point, that point gives the unique solution for the two equations. If there is a unique solution of the given pair of equations, the equations are called consistent.
✔If the lines coincide, there are indefinitely many solutions for the pair of linear equations. In this case, each point on the line is a solution. If there are infinitely many solutions of the given pair of linear equations, the equations are called dependent (consistent).
✔If the lines are parallel, there is no solution for the pair of linear equations. If there is no solution of the given pair of linear equations, the equations are called inconsistent.
Algebraic Method:
There are following methods for finding the solutions of the pair of linear equations:
✔Substitution method
✔Elimination method
✔Cross-multiplication method
a pair of linear equations is given by a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 then following situations can arise.
Situation 1:
a1/a2=/ b1/b2
In this case, the pair of linear equations is consistent. This means there is unique solution for the given pair of linear equations. The graph of the linear equations would be two intersecting lines.
Situation 2:
a1/a2 = b1/b2 =/ c1/c2
In this case, the pair of linear equations is inconsistent. This means there is no solution for the given pair of linear equations. The graph of linear equations will be two parallel lines.
Situation 3:
a1/a2 = b1/b2 = c1/c2
In this case, the pair of linear equations is dependent and consistent. This means there are infinitely many solutions for the given pair of linear equations. The graph of linear equations will be coincident lines.
For graph : https://gradestack.com/CBSE-Class-10th-Course/Pair-of-Linear-Equations/Graphical-Method-of/15041-3000-5155-study-wtw
Hope it helps you!
Attachments:
thanks bhai
where is algebraical representation
Similar questions