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Ex 3.5, 1 - Which pair has unique, no solution or infinitely

Ex 3.5, 1 - Chapter 3 Class 10 Pair of Linear Equations in Two Variables - Part 2

 

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Ex 3.5, 1 Which of the following pairs of linear equations has unique solution, no solution, or infinitely many solutions. In case there is a unique solution, find it by using cross multiplication method x – 3y – 3 = 0 3x – 9y – 2 = 0 x – 3y – 3 = 0 3x – 9y – 2 = 0 x – 3y – 3 = 0 Comparing with a1x + b1y + c1 = 0 ∴ a1 = 1, b1 = –3, c1 = –3 3x – 9y – 2 = 0 Comparing with a2x + b2y + c2 = 0 ∴ a2 = 3, b2 = –9, c2 = –2 a1 = 1, b1 = –3, c1 = –3 & a2 = 3, b2 = –9, c2 = –2 𝒂𝟏/𝒂𝟐 𝑎1/𝑎2 = 1/3 𝒃𝟏/𝒃𝟐 𝑏1/𝑏2 = (−3)/(−9) 𝑏1/𝑏2 = 1/3 𝒄𝟏/𝒄𝟐 𝑐1/𝑐2 = (−3)/(−2) Since 𝑎1/𝑎2 = 𝑏1/𝑏2 ≠ 𝑐1/𝑐2 We have no solution.

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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.