Slide49.JPG

Slide50.JPG
Slide51.JPG
Slide52.JPG

Go Ad-free

Transcript

Ex 3.1, 6 Given the linear equation 2x + 3y – 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is: (i) intersecting lines (ii) parallel lines (iii) coincident lines Given equation 2x + 3y − 8 = 0 Therefore, a1 = 2 , b1 = 3 , c1 = –8 (i) For Intersecting Lines For intersecting lines 𝑎1/𝑎2 ≠ 𝑏1/𝑏2 Since, a1 = 2 , b1 = 3 , c1 = –8 a2, b2, c2 can be a2 = 1 , b2 = 1 , c2 = 1 Thus, an intersecting line is x + y + 1 = 0 (ii) For Parallel Lines For Parallel lines 𝑎1/𝑎2 = 𝑏1/𝑏2 ≠ 𝑐1/𝑐2 Since, a1 = 2 , b1 = 3 , c1 = –8 a2, b2, c2 can be a2 = 4 , b2 = 6 , c2 = 1 Thus, a parallel line is 4x + 6y + 1 = 0 (iii) For Coincident Lines For Coincident lines 𝑎1/𝑎2 = 𝑏1/𝑏2 = 𝑐1/𝑐2 Since, a1 = 2 , b1 = 3 , c1 = –8 a2, b2, c2 can be a2 = 4 , b2 = 6 , c2 = −16 Thus, a coincident line is 4x + 6y − 16 = 0

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.