Ex 3.2, 2 - On comparing the ratios a1/a2, b1/b2, c1/c2, find parallel

Ex 3.2, 2 - Chapter 3 Class 10 Pair of Linear Equations in Two Variables - Part 2

 

 

  1. Chapter 3 Class 10 Pair of Linear Equations in Two Variables (Term 1)
  2. Serial order wise

Transcript

Ex 3.2, 2 On comparing the ratios ๐‘Ž1/๐‘Ž2 , ๐‘1/๐‘2 & ๐‘1/๐‘2 , find out whether the lines representing the following pair of linear equations intersect at a point, parallel or coincident 5x โ€“ 4y + 8 = 0 ; 7x + 6y โ€“ 9 = 0 5x โ€“ 4y + 8 = 0 7x + 6y โ€“ 9 = 0 5x โ€“ 4y + 8 = 0 Comparing with a1x + b1y + c1 = 0 โˆด a1 = 5 , b1 = โˆ’4 , c1 = 8 7x + 6y โ€“ 9 = 0 Comparing with a2x + b2y + c2 = 0 โˆด a2 = 7 , b2 = 6 , c2 = โˆ’9 โˆด a1 = 5 , b1 = โˆ’4 , c1 = 8 & a2 = 7 , b2 = 6 , c2 = โˆ’9 ๐’‚๐Ÿ/๐’‚๐Ÿ ๐‘Ž1/๐‘Ž2 = 5/7 ๐’ƒ๐Ÿ/๐’ƒ๐Ÿ ๐‘1/๐‘2 = (โˆ’4)/6 ๐‘1/๐‘2 = (โˆ’2)/3 ๐’„๐Ÿ/๐’„๐Ÿ ๐‘1/๐‘2 = 8/(โˆ’9) ๐‘1/๐‘2 = (โˆ’8)/9 Since ๐‘Ž1/๐‘Ž2 โ‰  ๐‘1/๐‘2 So, have unique solution Therefore, the lines that represent the linear equations intersect at a point

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.