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Line 21: + − # If a1/a2=b1/b2=c1/c2 ,then two lines disappear and become one line only and equations are consistent(one line is covering the second line so we claim that lines are coincident and meet at infinitely many point,it means number of solutions are infinitely many).
Simultaneous linear equation activity (view source)
Revision as of 07:55, 25 July 2020
, 07:55, 25 July 2020no edit summary
# Students will be able to understand three conditions of consistency of simultaneous linear equations.
# Students will be able to understand three conditions of consistency of simultaneous linear equations.
# Students are being identify the type of solution for a given pair of linear equations.
# Students are being identify the type of solution for a given pair of linear equations.
# Students are being identify the solution of a given pair of linear equations.
# Students are being identify the solution of a given pair of linear equations by using graphical method.
=== Estimated Time ===
=== Estimated Time ===
Students will set the value for a1,a2 , b1,b2 and c1,c2 in slider for the line equations of the type a1x+b1y=c1 and a2x+b2y=c2 and it takes as an input and compute the value of a1/a2 , b1/b2 and c1/c2.
Students will set the value for a1,a2 , b1,b2 and c1,c2 in slider for the line equations of the type a1x+b1y=c1 and a2x+b2y=c2 and it takes as an input and compute the value of a1/a2 , b1/b2 and c1/c2.
# If a1/a2≠b1/b2 ,then two lines meet at one unique point and obtained equations are consistent(As we are getting one point common in both the lines hence it is the only solution of pair of simultaneous linear equations).
# If a1/a2≠b1/b2 ,then two lines meet at one unique point and obtained equations are consistent(As we are getting one point common in both the lines hence it is the only solution of pair of simultaneous linear equations).
# If a1/a2=b1/b2=c1/c2 ,then two lines disappear and become one line only and equations are consistent(one line is covering the second line so we claim that lines are coincident and meet at infinitely many point,it means number of solutions are infinitely many).
# If a1/a2=b1/b2≠c1/c2 ,then two lines are parallel they never meet at any point on the plane and the equations are inconsistent(No point common in both the equations hence we can say that there is no solution of this system of equations).
# If a1/a2=b1/b2≠c1/c2 ,then two lines are parallel they never meet at any point on the plane and the equations are inconsistent(No point common in both the equations hence we can say that there is no solution of this system of equations).
=== Evaluation at the end of the activity: ===
=== Evaluation at the end of the activity: ===