Subscribe to our Youtube Channel - https://www.youtube.com/channel/UCZBx269Tl5Os5NHlSbVX4Kg

Last updated at May 29, 2018 by Teachoo

Transcript

Ex10.3, 9 Find angles between the lines 3x + y = 1 and x + 3 y = 1 Given equation of lines, 3x + y = 1 x + 3 y = 1 We know that angle between 2 lines ( ) can be found by using formula tan =|( _2 _1)/(1 + _2 _1 )| Let slope of line (1) be m1 & slope of line (2) be m2 Now, Angle between lines 3x + y = 1 and x + 3y = 1 is tan =|( _2 _1)/(1 + _2 _1 )| Putting values tan = |( 3 (( 1)/ 3))/(1 + ( 3)(( 1)/ 3) )| tan = |( 3 + 1/ 3)/(1 + 1)| tan = |((( 3)( 3) + 1)/ 3)/2| tan = |( 3 + 1)/(2 3)| tan = |( 2)/(2 3)| tan = |( 1)/ 3| tan = 1/ 3 We know that tan 30 = 1/ 3 tan = tan 30 Hence = 30 Thus, the acute angle between the lines (1) & (2) is = 30 & obtuse angle ( ) between these two lines is = 180 = 180 30 = 150 Thus, the required angle between lines is 30 or 150

Ex 10.3

Ex 10.3, 1
Important

Ex 10.3, 2

Ex 10.3, 3

Ex 10.3, 4

Ex 10.3, 5 Important

Ex 10.3, 6 Important

Ex 10.3, 7

Ex 10.3, 8 Important

Ex 10.3, 9 You are here

Ex 10.3, 10

Ex 10.3, 11

Ex 10.3, 12 Important

Ex 10.3, 13

Ex 10.3, 14 Important

Ex 10.3, 15

Ex 10.3, 16 Important

Ex 10.3, 17 Important

Ex 10.3, 18 Important

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.