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 ______.

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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

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.