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 ______.
CBSE Class 10 Sample Paper for 2020 Boards - Maths Basic
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CBSE Class 10 Sample Paper for 2020 Boards - Maths Basic
Last updated at April 16, 2024 by Teachoo
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_1/π_2 = π_1/π_2 β π_1/π_2 4x + ky + 6 = 0 Comparing with a2x + b2y + c2 = 0 a2 = 4, b2 = k, c1 = 6 Now, Since lines are parallel π_1/π_2 = π_1/π_2 β π_1/π_2 Comparing π_1/π_2 = π_1/π_2 2/4=1/π 1/2 = 1/π k = 2