### Advertisement

### Advertisement

Last updated at July 23, 2021 by Teachoo

Transcript

Ex 3.2, 2 On comparing the ratios ๐1/๐2 , ๐1/๐2 & ๐1/๐2 , 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 โด a1 = 5 , b1 = โ4 , c1 = 8 7x + 6y โ 9 = 0 Comparing with a2x + b2y + c2 = 0 โด a2 = 7 , b2 = 6 , c2 = โ9 โด a1 = 5 , b1 = โ4 , c1 = 8 & a2 = 7 , b2 = 6 , c2 = โ9 ๐๐/๐๐ ๐1/๐2 = 5/7 ๐๐/๐๐ ๐1/๐2 = (โ4)/6 ๐1/๐2 = (โ2)/3 ๐๐/๐๐ ๐1/๐2 = 8/(โ9) ๐1/๐2 = (โ8)/9 Since ๐1/๐2 โ ๐1/๐2 So, have unique solution Therefore, the lines that represent the linear equations intersect at a point

Finding ratios (Consistency)

About the Author

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.