Advertisements
Advertisements
Question
How many planes can be made to pass through three distinct points?
Advertisements
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.
APPEARS IN
RELATED QUESTIONS
Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?
perpendicular lines
Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?
radius of a circle
How many lines can be drawn through a given point.
The number of dimensions, a solid has ______.
Attempts to prove Euclid’s fifth postulate using the other postulates and axioms led to the discovery of several other geometries.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have ∠1 = ∠2, ∠2 = ∠3. Show that ∠1 = ∠3.
In the following figure AB = BC, M is the mid-point of AB and N is the mid-point of BC. Show that AM = NC.
Read the following axioms:
- Things which are equal to the same thing are equal to one another.
- If equals are added to equals, the wholes are equal.
- Things which are double of the same thing are equal to one another.
Check whether the given system of axioms is consistent or inconsistent.
The following statement is true or false? Give reason for your answer.
If two circles are equal, then their radii are equal.
The following statement is true or false? Give reason for your answer.
In the following figure, if AB = PQ and PQ = XY, then AB = XY.
