Question 4 (Or 2nd) - CBSE Class 12 Sample Paper for 2019 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at December 16, 2024 by Teachoo

Question 4 (OR 2 nd question)

Find the direction cosines of the line:

(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

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Transcript

Question 4 (OR 2nd question) Find the direction cosines of the line: (𝑥 − 1)/2 = –y = (𝑧 + 1)/2 Given line (𝑥 − 1)/2 = –y = (𝑧 + 1)/2 (𝑥 − 1)/2 = (−𝑦)/1 = (𝑧 + 1)/2 (𝑥 − 1)/2 = 𝑦/(−1) = (𝑧 + 1)/2 So, direction ratios are 2, –1, 2 ∴ a = 2, b = –1, c = 2 Direction cosines = 2/√(2^2 + (−1)^2 + 2^2 ) ,(−1)/√(2^2 + (−1)^2 + 2^2 ) ,2/√(2^2 + (−1)^2 + 2^2 ) = 2/√(4 + 1 + 4) ,(−1)/√(4 + 1 + 4) ,2/√(4 + 1 + 4) = 2/√9 ,(−1)/√9 ,2/√9 = 𝟐/𝟑 ,(−𝟏)/𝟑 ,𝟐/𝟑

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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

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