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Question 4 (OR 2 nd question)

Find the direction cosines of the line:

Β  (x - 1)/2 = –y = (z + 1)/2

Find the direction cosines of line: (x – 1)/2 = – y = (z + 1)/2

Question 4 (Or 2nd) - CBSE Class 12 Sample Paper for 2019 Boards - Part 2


Transcript

Question 4 (OR 2nd question) Find the direction cosines of the line: (π‘₯ βˆ’ 1)/2 = –y = (𝑧 + 1)/2 Given line (π‘₯ βˆ’ 1)/2 = –y = (𝑧 + 1)/2 (π‘₯ βˆ’ 1)/2 = (βˆ’π‘¦)/1 = (𝑧 + 1)/2 (π‘₯ βˆ’ 1)/2 = 𝑦/(βˆ’1) = (𝑧 + 1)/2 So, direction ratios are 2, –1, 2 ∴ a = 2, b = –1, c = 2 Direction cosines = 2/√(2^2 + (βˆ’1)^2 + 2^2 ) ,(βˆ’1)/√(2^2 + (βˆ’1)^2 + 2^2 ) ,2/√(2^2 + (βˆ’1)^2 + 2^2 ) = 2/√(4 + 1 + 4) ,(βˆ’1)/√(4 + 1 + 4) ,2/√(4 + 1 + 4) = 2/√9 ,(βˆ’1)/√9 ,2/√9 = 𝟐/πŸ‘ ,(βˆ’πŸ)/πŸ‘ ,𝟐/πŸ‘

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.