CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Euclid's Parallel Postulate and Playfair's Axiom

Given a line ...

Question

Given a line in a plane and a point outside the line in the same plane, there is a unique line passing through the given point and parallel to the given line. This statement is ________

A

Euclid's parallel axiom

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

Playfair's postulate

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

Euclid's postulate

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

Playfair's theorem

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B Playfair's postulate
Given a line in a plane and a point outside the line in the same plane, there is a unique line passing through the given point and parallel to the given line. This statement was given by Playfair called as Playfair's postulate.

Suggest Corrections

thumbs-up

0

Similar questions

Q. Given a line and a point, not on the line, there is one and only one line which passes through the given point and is parallel to the given line.

Q. In a plane there are 37 straight lines of which 13 pass through the point A and 11 pass through the point B. Besides, no three lines pass through one point, no line passes through both points A and B, and no two are parallel. Then the number of intersecting points the lines have is equal to

Q. In a plane there are

37

straight lines, of which

13

pass through the point

A

11

pass through the point

B

. Besides, no three lines pass through one point, no line passes through both points

A

B

,and no two are parallel. Then the number of inter-section points the lines have is equal to:

Q. Fill in the blanks so as to make the following statements true:

(i) Two distinct points in a plane determine a ........line.

(ii) Two distinct ........... in a plane cannot have more than one point in common.

(iii) Given a line and a point, not on the line, there is one and only ......... line which passes through the given point and is ......... to the given line.

(iv) A line separates a plane into ......... parts namely the ...........and the ........... itself.

Q. In a plane there are

37

straight lines, of which

13

pass through the point

A

11

pass through the point

B

. Besides, no three lines pass through one point, no lines passes through both points

A

B

, and no two are parallel, then the number of intersection points the lines have is equal to

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Euclid's parallel postulate and Playfair's axiom

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Euclid's Parallel Postulate and Playfair's Axiom

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon