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Question 13 (Choice - 2) - CBSE Class 10 Sample Paper for 2021 Boards - Maths Basic - Solutions of Sample Papers for Class 10 Boards

Last updated at Dec. 16, 2024 by Teachoo

What type of straight lines will be represented by the system of equations 2x + 3y = 5 and 4x + 6y = 7 ?

 

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Question 13 (Choice - 2) What type of straight lines will be represented by the system of equations 2x + 3y = 5 and 4x + 6y = 7 ?2x + 3y − 5 = 0 Comparing with a1x + b1y + c1 = 0 ∴ a1 = 2, b1 = 3 , c1 = −5 4x + 6y − 7 = 0 Comparing with a2x + b2y + c2 = 0 ∴ a2 = 4 , b2 = 6, c2 = −7 Therefore, a1 = 2, b1 = 3 , c1 = −5 & a2 = 4 , b2 = 6, c2 = −7 𝒂𝟏/𝒂𝟐 𝑎1/𝑎2 = 2/4 𝑎1/𝑎2 = 1/2 𝒃𝟏/𝒃𝟐 𝑏1/𝑏2 = 3/6 𝑏1/𝑏2 = 1/2 𝒄𝟏/𝒄𝟐 𝑐1/𝑐2 = (−5)/(−7) 𝑐1/𝑐2 = 5/7 Since 𝒂𝟏/𝒂𝟐 = 𝒃𝟏/𝒃𝟐 ≠ 𝒄𝟏/𝒄𝟐 ∴ The given lines are parallel
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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 and Computer Science at Teachoo