Q5 of 22 Page 5

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

Infinite if they are collinear and only one if they are non-collinear


Infinite planes can pass through three collinear points and only one plane can pass through three non-collinear points.


More from this chapter

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3

Define radius of circle.

 4

Consider two ‘postulates’ given below:

(i) Given any two distinct points A and B, there exists a third point C which is in between A and B.


(ii) There exist at least three points that are not on the same line.


Do these postulates contain any undefined terms? Are these postulates consistent?


Do they follow from Euclid’s postulates? Explain.

 6

Write the number of dimensions a solid has.

 7

Why is Axiom 5, in the list of Euclid’s axioms, considered a ‘universal truth’?