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Ex 10.2, 10 - Line passing through (-3, 5) and perpendicular - Two lines // or/and prependicular

Ex 10.2, 10 - Chapter 10 Class 11 Straight Lines - Part 2
Ex 10.2, 10 - Chapter 10 Class 11 Straight Lines - Part 3


Transcript

Ex 10.2, 10 Find the equation of the line passing through ( 3, 5) and perpendicular to the line through the points (2, 5) and ( 3, 6). Let AB be the line passing through (-3, 5) & perpendicular to the line CD through (2, 5) and ( 3, 6) Let Slope of AB = m1 & Slope of CD = m2 Now Line AB is perpendicular to line CD If two lines are perpendicular then product of their slopes are equal to -1 Slope of AB Slope of CD = -1 So, m1 m2 = -1 Slope of line passing through (x, y) & (x2, y2) = ( 2 1)/( 2 1 ) So, Slope of line CD passing through (2, 5) and ( 3, 6) m2 = (6 5)/( 3 2) = ( 1)/( 5) = ( 1)/5 From (1) m1 m2 = -1 m1 (( 1)/5) = -1 m1 = -1 ( 5)/( 1) m1 = 5 Slope of line AB = m1 = 5 Equation of line passing through point (x0, y0) & having slope m (y y0) = m1 (x x0) Equation of line AB passing through (-3, 5)& having slope 5 (y 5) = m1 (x (-3)) (y 5) = 5 (x + 3) y 5 = 5x + 15 5x + 15 y + 5 = 0 5y y + 20 = 0 Hence, the required equation is 5y y + 20 = 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.