Advertisements
Advertisements
प्रश्न
The following statement is true or false? Give reason for your answer.
There are an infinite number of lines which pass through two distinct points.
पर्याय
True
False
उत्तर
This statement is False.
Explanation:
Because only one line passes through two distinct points, in the following figure, it can be seen that only one line passes through points P and Q.
APPEARS IN
संबंधित प्रश्न
How many least number of distinct points determine a unique line?
How many lines can be drawn through a given point.
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 a line and a point not on the line?
The three steps from solids to points are ______.
The number of dimensions, a solid has ______.
The number of interwoven isosceles triangles in Sriyantra (in the Atharvaveda) is ______.
“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 AC = DC, CB = CE. Show that AB = DE.
Read the following statements which are taken as axioms:
- If a transversal intersects two parallel lines, then corresponding angles are not necessarily equal.
- If a transversal intersect two parallel lines, then alternate interior angles are equal.
Is this system of axioms consistent? Justify your answer.
