Condition for straight lines to have Consistent or Inconsistent solution | Test for Consistency or Inconsistency

http://www.learncbse.in/ncert-class-10-math-solutions/

http://www.learncbse.in/pair-of-linear-equations-in-two-variables-cbse-extra-questions/

http://www.learncbse.in/rd-sharma-class-10-solutions-pair-of-linear-equations-in-two-variables/

Specific Objective:

• To understand the condition for consistency of a pair of linear equations.

• To understand the condition of inconsistency of a pair of linear equations.

Description: In this task students will find the ratio of coefficients of the variables and ratio of

constant terms. They will represent the given pair of linear equation graphically and will

comment upon the consistency and inconsistency of linear equations.

Execution: Worksheets will be distributed to the students and they will solve the questions as

directed in the worksheet. They will comment upon consistency and inconsistency of the given

equation. Teacher will take a follow up session in which the questions will be discussed.

Parameters for Assessment:

. Able to find a1/a2, b1/b2 and c1/c2.

. Able to relate the above ratio.

. Able to represent the pair of linear equations graphically.

. Able to comment upon the consistency and inconsistency of pair of linear equations.

Pair of linear equations in two variables is a unit in which both algebra and coordinate

geometry shares equal role Using algebra, a real life problem can be translated into abstract

expression involving coefficients and variables. The algebraic problems can be solved either

using coordinate geometry (graph of linear equations) or through pure algebraic approach.

24:18 Q3. On comparing the ratios a1/b1 , a2/b2 and a3/b3 , find out whether the following pair of linear equations are consistent, or inconsistent.

(i) 3 x + 2 y = 5 ; 2 x – 3 y = 7 (ii) 2 x – 3 y = 8 ; 4 x – 6 y = 9 (iii) 5x – 3 y = 11; – 10 x + 6 y = –22

25:10 Write the coefficients of the variables and constant terms.

25:35 Find ratio of coefficients of x

Find ratio of coefficients of y

Find ratio of constant terms

25:45 Relate relationship of ratios a1/b1 , a2/b2 and c1/c2

26:00 comment upon the consistency and inconsistency of pair of linear equations.

26:19 (ii) 2 x – 3 y = 8 ; 4 x – 6 y = 9

26:53 find a1/a2, b1/b2 and c1/c2.

27:17 relate the above ratio.

26;47 comment upon the consistency and inconsistency of pair of linear equations.

28:12 (iii) 5x – 3 y = 11 ; – 10 x + 6 y = –22

29:23 find a1/a2, b1/b2 and c1/c2.

29:54 relate the above ratio.

30:01 comment upon the consistency and inconsistency of pair of linear equations.

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Tagged under: ncert solutions,learncbse.,gyanpub,straight lines,Graphical Method,Solutions CBSE class 10 Maths,Pair linear equations,Consistent,Inconsistent,Common core,Common core Math,ICSE Class

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