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Ex 3.2, 2 - Chapter 3 Class 10 Pair of Linear Equations in Two Variables - Part 5

Ex 3.2, 2 - Chapter 3 Class 10 Pair of Linear Equations in Two Variables - Part 6

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Transcript

Ex 3.1, 2 On comparing the ratios 𝑎1/𝑎2 , 𝑏1/𝑏2 & 𝑐1/𝑐2 , find out whether the lines representing the following pair of linear equations intersect at a point, parallel or coincident (iii) 6x – 3y + 10 = 0 ; 2x – y + 9 = 0 6x – 3y + 10 = 0 2x – y + 9 = 0 6x – 3y + 10 = 0 Comparing with a1x + b1y + c1 = 0 ∴ a1 = 6 , b1 = −3 , c1 = 10 2x – y + 9 = 0 Comparing with a2x + b2y + c2 = 0 ∴ a2 = 2 , b2 = −1 , c2 = 9 ∴ a1 = 6 , b1 = −3 , c1 = 10 & a2 = 2 , b2 = −1 , c2 = 9 𝒂𝟏/𝒂𝟐 𝑎1/𝑎2 = 6/2 𝑎1/𝑎2 = 3 𝒃𝟏/𝒃𝟐 𝑏1/𝑏2 = (−3)/(−1) 𝑏1/𝑏2 = 3 𝒄𝟏/𝒄𝟐 𝑐1/𝑐2 = 10/9 Since 𝑎1/𝑎2 = 𝑏1/𝑏2 ≠ 𝑐1/𝑐2 So, we have no solution Therefore, the lines represent the linear equations are parallel

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.