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

Remove Ads Share on WhatsApp

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 𝑎_1/𝑎_2 = 𝑏_1/𝑏_2 ≠ 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 𝑎_1/𝑎_2 = 𝑏_1/𝑏_2 ≠ 𝑐_1/𝑐_2 Comparing 𝑎_1/𝑎_2 = 𝑏_1/𝑏_2 2/4=1/𝑘 1/2 = 1/𝑘 k = 2

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.