Check sibling questions

The pair of lines represented by the equations 2x + y + 3 = 0 and 4x + ky + 6 = 0 will be parallel if value of k is ______.

The pair of lines 2x + y + 3 = 0 and 4x + ky + 6 = 0 will be parallel

Question 12 (OR 1st question) - CBSE Class 10 Sample Paper for 2020 Boards - Maths Basic - Part 2

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Transcript

Question 12 (OR 1st question) The pair of lines represented by the equations 2x + y + 3 = 0 and 4x + ky + 6 = 0 will be parallel if value of k is ______. Given lines 2x + y + 3 = 0 and 4x + ky + 6 = 0 Now, Since lines are parallel π‘Ž_1/π‘Ž_2 = 𝑏_1/𝑏_2 β‰  𝑐_1/𝑐_2 4x + ky + 6 = 0 Comparing with a2x + b2y + c2 = 0 a2 = 4, b2 = k, c1 = 6 Now, Since lines are parallel π‘Ž_1/π‘Ž_2 = 𝑏_1/𝑏_2 β‰  𝑐_1/𝑐_2 Comparing π‘Ž_1/π‘Ž_2 = 𝑏_1/𝑏_2 2/4=1/π‘˜ 1/2 = 1/π‘˜ k = 2

Ask a doubt
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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.