Last updated at May 29, 2018 by Teachoo

Transcript

Example 19 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 𝑎, b, c on x, y, and z – axis respectively is 𝒙𝒂 + 𝒚𝒃 + 𝒛𝒄 = 1 Given, Intercept on x − axis = 2 ∴ 𝑎 = 2 Intercept on y − axis = 3 ∴ b = 3 Intercept on z – axis = 4 ∴ c = 4 Equation of plane is 𝒙𝟐 + 𝒚𝟑 + 𝒛𝟒 = 1 6𝑥12 + 4𝑦12 + 3𝑧12 = 1 6𝑥 + 4𝑦 + 3𝑧12 = 1 6x + 4y + 3z = 12

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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.