Find the direction cosines of the following line: (3 βˆ’ π‘₯)/(βˆ’1) = (2𝑦 βˆ’ 1)/2 = 𝑧/4

This question is similar to Question 4 or 2nd CBSE Class 12 Sample Paper 2019 BoardsΒ 

Question 4 - CBSE Class 12 Sample Paper for 2022 Boards (For Term 2) - CBSE Class 12 Sample Paper for 2022 Boards (For Term 2)

part 2 - Question 4 - CBSE Class 12 Sample Paper for 2022 Boards (For Term 2) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards - Class 12

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Question 4 Find the direction cosines of the following line: (3 βˆ’ π‘₯)/(βˆ’1) = (2𝑦 βˆ’ 1)/2 = 𝑧/4 Given line (πŸ‘ βˆ’ 𝒙)/(βˆ’πŸ) = (2𝑦 βˆ’ 1)/2 = 𝑧/4 (βˆ’(π‘₯ βˆ’ 3) )/(βˆ’1) = (2𝑦 βˆ’ 1)/2 = 𝑧/4 ((𝒙 βˆ’ πŸ‘) )/𝟏 = (2𝑦 βˆ’ 1)/2 = 𝑧/4 ((π‘₯ βˆ’ 3) )/1 = 𝟐(π’š βˆ’ Β½)/𝟐 = 𝑧/4 ((π‘₯ βˆ’ 3) )/1 = ((π’š βˆ’ Β½))/𝟏 = 𝑧/4 So, direction ratios are 1, 1, 4 Β½ marks ∴ a = 1, b = 1, c = 4 Direction cosines = 1/√(1^2 + 1^2 + 4^2 ) , 1/√(1^2 + 1^2 + 4^2 ) , 4/√(1^2 + 1^2 + 4^2 ) = 1/√(1 + 1 + 16) ,1/√(1 + 1 + 16) ,4/√(1 + 1 + 16) = 1/√18 ,1/√18 ,4/√18 = 1/√(2 Γ— 9) ,1/√(2 Γ— 9) ,4/√(2 Γ— 9) = 𝟏/(πŸ‘βˆšπŸ) , 𝟏/(πŸ‘βˆšπŸ) , πŸ’/(πŸ‘βˆšπŸ) Β½ marks

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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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo