Example 21 - Chapter 11 Class 12 Three Dimensional Geometry
Last updated at May 29, 2018 by Teachoo
Transcript
Example 21 Show that the lines + 3 3 = 1 1 = 5 5 and + 1 1 = 2 2 = 5 5 are coplanar. Two lines 1 1 = 1 1 = 1 1 and 2 2 = 2 2 = 2 2 are coplanar if = 0 Given, the two lines are Now, 2 1 2 1 2 1 1 1 1 2 2 2 = 1 ( 3) 2 1 5 5 3 1 5 1 2 5 = 2 1 0 3 1 5 1 2 5 = 2 1 5 (2 5) 1 3 5 ( 1 5) + 0 3 2 ( 1 1) = 2 5 10 1 15 ( 5) + 0 = 2( 5) 1( 10) = 10 + 10 = 0 Therefore, the given two lines are coplanar.
Examples
Example 1
Example, 2
Example, 3 Important
Example, 4
Example, 5
Example, 6 Important
Example, 7
Example 8
Example, 9 Important
Example 10
Example 11
Example 12 Important
Example 13
Example 14
Example 15
Example 16
Example 17
Example 18
Example 19
Example 20 Important
Example 21 Important You are here
Example 22
Example 23 Important
Example 24 Important
Example, 25 Important
Example 26
Example 27 Important
Example 28
Example 29 Important
Example 30 Important
Chapter 11 Class 12 Three Dimensional Geometry
Serial order wise
About the Author
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.