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Find the Equations of the Planes that Passes Through Three Points. (1, 1, −1), (6, 4, −5), (−4, −2, 3)

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Question

Find the equations of the planes that passes through three points.

(1, 1, −1), (6, 4, −5), (−4, −2, 3)

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Solution

The given points are A (1, 1, −1), B (6, 4, −5), and C (−4, −2, 3).

Since A, B, C are collinear points, there will be infinite number of planes passing through the given points.

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Chapter 11: Three Dimensional Geometry - Exercise 11.3 [Page 493]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 11 Three Dimensional Geometry
Exercise 11.3 | Q 6.1 | Page 493
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