CBSE Class 10 Sample Paper for 2021 Boards - Maths Basic

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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 April 16, 2024 by

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

 

What type of straight lines will be represented by 2x + 3y = 5 and 4x

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

Transcript

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 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.