Advertisements
Advertisements
प्रश्न
How many least number of distinct points determine a unique line?
उत्तर
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
संबंधित प्रश्न
The following statement is true or false? Give reason for your answer.
Only one line can pass through a single point.
Why is Axiom 5, in the list of Euclid’s axioms, considered a ‘universal truth’? (Note that the question is not about the fifth postulate.)
In how many points two distinct lines can intersect?
In how many points two distinct planes can intersect?
Given three distinct points in a plane, how many lines can be drawn by joining them?
How many planes can be made to pass through three distinct points?
Euclid belongs to the country ______.
Solve the following question using appropriate Euclid’s axiom:
Look at the figure. Show that length AH > sum of lengths of AB + BC + CD.
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.
Read the following two statements which are taken as axioms:
- If two lines intersect each other, then the vertically opposite angles are not equal.
- If a ray stands on a line, then the sum of two adjacent angles so formed is equal to 180°.
Is this system of axioms consistent? Justify your answer.
