Advertisements
Advertisements
Question
How many least number of distinct points determine a unique line?
Advertisements
Solution
If we have a single point A then we can draw infinite number of lines through it, while if we have two points A and B; then only one unique line passes through both of them.
When we have one point,

When we have two points,

Therefore, a minimum of two distinct points are required to determine a unique line.
APPEARS IN
RELATED QUESTIONS
The following statement is true or false? Give reason for your answer.
Only one line can pass through a single point.
In how many points two distinct planes can intersect?
How many least number of distinct points determine a unique plane?
How many planes can be made to pass through a line and a point not on the line?
The number of dimensions, a surface has ______.
Euclid belongs to the country ______.
Euclid stated that all right angles are equal to each other in the form of ______.
“For every line l and for every point P not lying on a given line l, there exists a unique line m passing through P and parallel to l ” is known as Playfair’s axiom.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have ∠1 = ∠2, ∠2 = ∠3. Show that ∠1 = ∠3.

Solve the following question using appropriate Euclid’s axiom:
In the following figure, if OX = `1/2` XY, PX = `1/2` XZ and OX = PX, show that XY = XZ.

