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Example, 3 - Chapter 11 Class 12 Three Dimensional Geometry (Important Question)
Last updated at Jan. 3, 2020 by Teachoo
Transcript
Example, 3 Find the direction cosines of the line passing through the two points ( 2, 4, 5) and (1, 2, 3). P ( 2, 4, 5) Q (1, 2, 3) So, x1 = 2, y1 = 4 , z1 = 5 & x2 = 1, y2 = 2 , z2 = 3 Direction ratios = (x2 x1), (y2 y1), (z2 z1) = 1 ( 2) , 2 4 , 3 ( 5) = 1 + 2, 2, 3 + 5 = 3, 2, 8 Direction cosines = 3 32 + 2 2 + 82 , 2 32 + 2 2 + 82 , 8 32 + 2 2 + 82 = 3 9 + 4 + 64 , 2 9 + 4 + 64 , 8 9 + 4 + 64 = , ,
Chapter 11 Class 12 Three Dimensional Geometry
Example, 3
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Ex 11.1, 2
Example, 6 Important
Example, 9
Example 12 Important
Ex 11.2, 5 Important
Ex 11.2, 11 Important
Ex 11.2, 12 Important
Ex 11.2, 14 Important
Ex 11.2, 15 Important
Ex 11.2, 17 Important
Example 20 Important
Example 21 Important
Example 23 Important
Example 24
Example, 25 Important
Ex 11.3, 4 Important
Ex 11.3, 11 Important
Ex 11.3, 12 Important
Ex 11.3, 14 Important
Example 27 Important
Example 29 Important
Example 30 Important
Misc 6 Important
Misc 9 Important
Misc 14 Important
Misc 18 Important
Misc 20 Important
Misc 21 Important
Class 12
Important Questions for exams Class 12
- Chapter 1 Class 12 Relation and Functions
- Chapter 2 Class 12 Inverse Trigonometric Functions
- Chapter 3 Class 12 Matrices
- Chapter 4 Class 12 Determinants
- Chapter 5 Class 12 Continuity and Differentiability
- Chapter 6 Class 12 Application of Derivatives
- Chapter 7 Class 12 Integrals
- Chapter 8 Class 12 Application of Integrals
- Chapter 9 Class 12 Differential Equations
- Chapter 10 Class 12 Vector Algebra
- Chapter 11 Class 12 Three Dimensional Geometry
- Chapter 12 Class 12 Linear Programming
- Chapter 13 Class 12 Probability
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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.