Nature of pair of linear equations Intersecting, Parallel or Coincident | Geometric nature of lines

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00:02 Q2. On comparing the ratios a1/b1 , a2/b2 and a3/b3 , find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident:

18:52 (i) 5 x – 4 y + 8 = 0 ; 7 x + 6 y – 9 = 0

(ii) 9x + 3 y + 12 = 0 ; 18 x + 6 y + 24 = 0

(iii) 6 x – 3 y + 10 = 0 2 x – y + 9 = 0

00:40 Procedure to find the ratios

01:21 ratio of coefficients of x

01:29 ratio of coefficients of y

01:36 ratio of constant terms

relate relationship of ratios and their graphical representation

a1/b1 , a2/b2 and c1/c2

01:56 a1/b1 is not equal to a2/b2.graphical representation of system of linear equation is intersecting

relate relationship of ratios and their graphical representation

a1/b1 , a2/b2 and c1/c2

02:57 (ii) 9x + 3 y + 12 = 0 ; 18 x + 6 y + 24 = 0

03:38 Find ratio of coefficients of x

03:45 Find ratio of coefficients of y

03:56 Find ratio of constant terms

04:06 relate the above ratio.

04:32 relate relationship of ratios and their graphical representation.

a1/b1 = a2/b2 = c1/c2

04:46 (iii) 6 x – 3 y + 10 = 0 2 x – y + 9 = 0

05:28 Find the ratio a1/b1 , a2/b2 and c1/c2

05:56 Find the relation between these ratios

06:07 Relate relationship of ratios and their graphical representation

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CBSE solutions for class 10 maths Chapter 3 Pair of linear equations Exercise 3.4

CBSE class 10 maths NCERT Solutions Chapter 3 Pair of linear equations Ex 3.2

CBSE class 10 maths NCERT Solutions Chapter 3 Pair of linear equations

Solutions for CBSE class 10 Maths Pair of linear equations

NCERT solutions for class 10 maths Pair of linear equations

NCERT solutions for CBSE class 10 maths Pair of linear equations

graphical representation Graphical Method algebraical Method parallel coincident consistent, or inconsistent Algebraic Methods of Solving a Pair of Linear Equations Substitution Method

Elimination Method Cross - Multiplication Method

CBSE class 10 maths Solutions Pair of linear equations Exercise 3.5

Common core Math Pair of linear equations

ICSE Class 10 Pair of linear equations

Tagged under: ncert solutions,learncbse.,gyanpub,Nature pair linear equations,Nature ,linear equations,On comparing ratios

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