Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class

Plane

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Chapter 11 Class 12 Three Dimensional Geometry

Serial order wise

Last updated at May 29, 2023 by Teachoo

Question 8 Find the equation of the plane with intercept 3 on the y-axis and parallel to ZOX plane. The equation of a plane with intercepts 𝑎, b, c on x, y, and z – axis respectively is 𝒙𝒂 + 𝒚𝒃 + 𝒛𝒄 = 1 Given, The plane is parallel to ZOX plane as shown ∴ intercept on x – axis = 0 So, 𝑎 = 0 and Intercept on z axis = 0 So, 𝑐 = 0 Given, Intercept on y axis = 3 So, 𝑏 = 3 Equation of a plane 𝑥0 + 𝑦3 + 𝑧0 = 1 0 + 𝑦3 + 0 = 1 𝑦3 = 1 y = 3