Question 9 - Examples - Chapter 11 Class 12 Three Dimensional Geometry

Last updated at December 16, 2024 by

Example 19 - Find equation of plane with intercepts 2, 3, 4

Example 19 - Chapter 11 Class 12 Three Dimensional Geometry - Part 2

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Question 9 Find the equation of the plane with intercepts 2, 3 and 4 on the x, y and z-axis respectively. The equation of a plane with intercepts š‘Ž, b, c on x, y, and z ā€“ axis respectively is š’™/š’‚ + š’š/š’ƒ + š’›/š’„ = 1 Given, Intercept on x āˆ’ axis = 2 āˆ“ š‘Ž = 2 Intercept on y āˆ’ axis = 3 āˆ“ b = 3 Intercept on z ā€“ axis = 4 āˆ“ c = 4 Equation of plane is š’™/šŸ + š’š/šŸ‘ + š’›/šŸ’ = 1 6š‘„/12 + 4š‘¦/12 + 3š‘§/12 = 1 (6š‘„ + 4š‘¦ + 3š‘§)/12 = 1 6x + 4y + 3z = 12

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