मराठी

Prove that If a Plane Has the Intercepts A, B, C and is at a Distance of P Units from the Origin, Then - Mathematics

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प्रश्न

Prove that if a plane has the intercepts abc and is at a distance of P units from the origin, then `1/a^2 + 1/b^2 + 1/c^2 = 1/p^2`

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उत्तर

The equation of a plane having intercepts abc with xy, and z axes respectively is given by,

`x/a + y/b + z/c  = 1`  ....(1)

The distance (p) of the plane from the origin is given by,

 

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 11: Three Dimensional Geometry - Exercise 11.4 [पृष्ठ ४९९]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
पाठ 11 Three Dimensional Geometry
Exercise 11.4 | Q 21 | पृष्ठ ४९९
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