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How Many Planes Can Be Made to Pass Through Three Distinct Points? - Mathematics

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Question

How many planes can be made to pass through three distinct points?

Answer in Brief

Solution

The number of planes that can pass through three distinct points is dependent on the arrangement of the points.

  • If the points are collinear, then infinite number of planes may pass through the three distinct points.

  • If the points are non collinear, then only one unique plane can pass through the three distinct points.

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Chapter 9: Introduction to Euclid’s Geometry - Exercise 9.2 [Page 9]

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RD Sharma Mathematics [English] Class 9
Chapter 9 Introduction to Euclid’s Geometry
Exercise 9.2 | Q 12 | Page 9

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