Advertisements
Advertisements
Question
In how many points two distinct lines can intersect?
Advertisements
Solution
Two distinct lines can intersect at only point, as there is only one common point between two intersecting lines.
For example, if l and m are two intersecting lines then there is only one common point O between them. This is the point of intersection.

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.
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?
square
Consider two ‘postulates’ given below:-
- Given any two distinct points A and B, there exists a third point C which is in between A and B.
- 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.
In the following figure, if AC = BD, then prove that AB = CD.

How many lines can be drawn through both of the given points?
Given three distinct points in a plane, how many lines can be drawn by joining them?
Euclid stated that all right angles are equal to each other in the form of ______.
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, we have X and Y are the mid-points of AC and BC and AX = CY. Show that AC = BC.

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.
