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Ex 10.2, 6 - Line which intersects y-axis at 2 units, angle 30 - Slope-Intercept form

Ex 10.2, 6 - Chapter 10 Class 11 Straight Lines - Part 2

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Ex10.2, 6 Find the equation of the line which intersects the y-axis at a distance of 2 units above the origin and makes an angle of 30° with the positive direction of the x-axis. Line AB intersects the y-axis 2 units above origin At y-axis, x will always 0, ∴ Line AB cuts y-axis at P (0,2) Also, line AB makes an angle of 30° with the x-axis ∴ Slope = tan θ m = tan 30° = 1/√3 We know that equation of line passing through (x0, y0) & having slope m is (y – y0) = m(x – x0) Here x0 = 0 , y0 = 2 & m = 1/√3 Putting values (y – y0) = m(x – x0) (y – 2) = 1/√3 (x – 0) (y – 2) = 1/√3 x √3(y – 2) = x √3y – 2√3 = x √3y – x – 2√3 = 0 Hence, the required equation is √3y – x – 2√3 = 0

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Davneet Singh

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.