Difficult
Give a definition for parallel lines. Are there other terms that need to be defined first? What are they,and how might you define them?
(N/A) Parallel lines: Two lines in a plane are said to be parallel if they do not intersect each other,no matter how far they are extended in either direction.
Yes,there are other terms that need to be defined first:
$1$. Point: $A$ point is a location in space that has no dimension (no length,breadth,or thickness).
$2$. Line: $A$ line is a breadthless length that extends infinitely in both directions.
$3$. Plane: $A$ surface which has length and breadth only.
$4$. Intersection: Two lines are said to intersect if they have a common point.
$5$. Distance between lines: The perpendicular distance between two parallel lines is constant at all points.
Yes,there are other terms that need to be defined first:
$1$. Point: $A$ point is a location in space that has no dimension (no length,breadth,or thickness).
$2$. Line: $A$ line is a breadthless length that extends infinitely in both directions.
$3$. Plane: $A$ surface which has length and breadth only.
$4$. Intersection: Two lines are said to intersect if they have a common point.
$5$. Distance between lines: The perpendicular distance between two parallel lines is constant at all points.
Explore More
Similar Questions
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.)
Easy
View SolutionHow would you rewrite Euclid's fifth postulate so that it would be easier to understand?
Easy
View SolutionWhich of the following statements are true and which are false? Give reasons for your answers.
$(i)$ Only one line can pass through a single point.
$(ii)$ There are an infinite number of lines which pass through two distinct points.
$(iii)$ $A$ terminated line can be produced indefinitely on both the sides.
$(iv)$ If two circles are equal,then their radii are equal.
$(v)$ In the figure,if $AB = PQ$ and $PQ = XY,$ then $AB = XY$.
$(i)$ Only one line can pass through a single point.
$(ii)$ There are an infinite number of lines which pass through two distinct points.
$(iii)$ $A$ terminated line can be produced indefinitely on both the sides.
$(iv)$ If two circles are equal,then their radii are equal.
$(v)$ In the figure,if $AB = PQ$ and $PQ = XY,$ then $AB = XY$.
Medium
View SolutionConsider the following statement: There exists a pair of straight lines that are everywhere equidistant from one another. Is this statement a direct consequence of Euclid's fifth postulate? Explain.
Easy
View SolutionGive a definition for the radius of a circle. Are there other terms that need to be defined first? What are they,and how might you define them?
Difficult
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo