Ex 10.1, 11 - Slope of a line is double of slope of another - Angle between two lines by Slope

  1. Chapter 10 Class 11 Straight Lines
  2. Serial order wise
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Ex10.1, 11 The slope of a line is double of the slope of another line. If tangent of the angle between them is 1/3 , find the slopes of the lines. Let m1 & m2 be the slopes of two lines We know that angles between two lines are tan = |( 2 1)/(1 + 1 2)| Here tan = 1/3 & m2 = 2m1 Putting values tan = |( 2 1)/(1 + 1 2)| 1/3 = |( 2 1)/(1 + 1 2)| 1/3 = |(2 1 1)/(1 + 1(2 1))| 1/3 = | _1/(1 + 2 _1 ^2 )| | _1/(1 + 2 _1 ^2 )| = 1/3 So, _1/(1 + 2 _1 ^2 ) = 1/3 or _1/(1 + 2 _1 ^2 ) = ( 1)/3 Hence slope of lines are 1/2 and 1 or 1 and 2 or ( 1)/2 and -1 or -1 and -2

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.