Mathematics is Everywhere

A tour through Maths Lab

Activity - To find the condition of consistency

Aim- To find the condition of consistency for a pair of linear equations in two variables.
Material Required :Graph Paper , pencil , scale
Procedure
1. Take the pair of linear equations as
x + y = 4
2x + y = 6
Plot the graph of these equations.
2. Take the second pair of linear equations
x + y = 4
2x + 2y = 12
Plot the graph of these equations.
3. Take Third pair of linear equations
2x + y = 4
4x + 2y= 6
Plot the graph of these equations.
Observations
1. For intersecting lines it is observed that a1/a2 <> b1/b2
2. For coincident lines it is observed that

3. For coincident lines it is observed that


Conclusion
The first and second pair of linear equations are consistent .So the condition of consistency is
or

Time Management Strategy to attempt Examination for class X

Question paper contains 30 questions of which Q. 1 to 10 carry1 mark each (section A), Q 11 to 15 carry 2marks each (section B) ,Q16 to 25 carry 3 marks each (section C) and Q26 to 30 carry 6 mark each (Section D).
Divide your time as :
First attempt section D (6 marks questions) in 45 minutes i.e. you will get 9 minutes per question.
6 marks questions are straight forward and with a fresh mind you can do calculations better especially in statistics
then attempt section C (3 marks questions) in next 60 minutes i.e. you will get 6 minutes per question.
then attempt section B (2 marks questions) in next 25 minutes i.e. you will get 5 minutes per question
then attempt section A (1 mark questions) in next 20 minutes i.e. you will get 2 minutes per question
still you'll left with 30 minutes for revision