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Ex 10.2, 5 - Find equation, line intersects x-axis at 3 units - Ex 10.2

Ex 10.2, 5 - Chapter 10 Class 11 Straight Lines - Part 2

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Ex 10.2, 5 Find the equation of the line which intersects the x-axis at a distance of 3 units to the left of origin with slope –2. Let line AB intersect the x-axis at a distance 3 units to the left of origin At x-axis, y is always 0 ∴ Line AB cuts x-axis at P (–3, 0) & slope of line AB is -2 i.e. m = –2 We know that equation of line passing through (x0, y0) with slope m is (y – y0) = m(x – x0) Here x0 = –3 ,y0 = 0 m = –2 Putting values (y – 0) = –2 (x + 3) y = –2 (x + 3) y = –2x – 6 2x + y + 6 = 0 Hence, the required equation is 2x + y + 6 = 0

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.