Sunday, 25 October 2020

CBSE Class 10 Maths - Lab Activity - Linear Equations (#class10MathsLabActivity)(#cbse2020)(#class10Maths)(#eduvictors)

Class 10 Maths - Lab Activity - Linear Equations

CBSE Class 10 Maths - Lab Activity - Linear Equations (#class10MathsLabActivity)(#cbse2020)(#class10Maths)(#eduvictors)


Objective

To verify the conditions for consistency of a system of linear equations in two variables by graphical representation.


Prerequisite Knowledge

1. Plotting of points on a graph paper.

2. Condition of consistency of lines parallel, intersecting, coincident,


Materials Required

Graph papers, fevicol, geometry box, cardboard.


Procedure

Consider the three pairs of linear equations

1st pair: 

2x-5y+4=0, 

2x+y-8 = 0


2nd pair: 

4x + 6y = 24, 

2x + 3y =6


3rd pair: 

x-2y=5, 

3x-6y=15


1. Take the 1st pair of linear equations in two variables, e.g., 2x – 5y +4=0, 2x +y- 8 = 0.

2. Obtain a table of at least three such pairs (x, y) which satisfy the given equations.

CBSE Class 10 Maths - Lab Activity - Linear Equations (#class10MathsLabActivity)(#cbse2020)(#class10Maths)(#eduvictors)


3. Plot the points of two equations on the graph paper as shown below.

CBSE Class 10 Maths - Lab Activity - Linear Equations (#class10MathsLabActivity)(#cbse2020)(#class10Maths)(#eduvictors)



4. Observe whether the lines are intersecting, parallel or coincident. Write the values in observation table.
Also, check for:
   a₁         b₁         c₁ 
 ---- = ---- = ----
   a₂         b₂         c₂

 5. Take the second pair of linear equations in two variables

CBSE Class 10 Maths - Lab Activity - Linear Equations (#class10MathsLabActivity)(#cbse2020)(#class10Maths)(#eduvictors)



 6. Repeat the steps 3 and 4 and draw linear graph as shown.

CBSE Class 10 Maths - Lab Activity - Linear Equations (#class10MathsLabActivity)(#cbse2020)(#class10Maths)(#eduvictors)

 7. Take the third pair of linear equations in two variables,i.e. x-2y=5, 3x-6y=15. Plot XY values.

CBSE Class 10 Maths - Lab Activity - Linear Equations (#class10MathsLabActivity)(#cbse2020)(#class10Maths)(#eduvictors)



 8. Repeat steps 3 and 4 and plot the graph (as shown)

CBSE Class 10 Maths - Lab Activity - Linear Equations (#class10MathsLabActivity)(#cbse2020)(#class10Maths)(#eduvictors)



 Observation:
 Following are the observations:

 
CBSE Class 10 Maths - Lab Activity - Linear Equations (#class10MathsLabActivity)(#cbse2020)(#class10Maths)(#eduvictors)

 1. In 1st pair, for intersecting lines 

   a₁         b₁     
 ---- ≠ ---- 
   a₂         b₂    

2. For second pair (parallel lines)
   a₁         b₁         c₁ 
 ---- = ---- ≠ ----
   a₂         b₂         c₂


3. For 3rd pair of equations (coincident lines)
   a₁         b₁         c₁ 
 ---- = ---- = ----
   a₂         b₂         c₂

Result
The conditions for consistency of a system of linear equations in two variables is verified.


👉See Also:

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