MyQuestionIcon

1

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

Combination Based on Geometry

If three line...

Question

If three lines are non concurrent and no two of them are parallel, number of circles drawn touching all the three lines

A

1

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

B

4

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

C

3

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

D

Infinite

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

Open in App

Solution

The correct option is A. 4
If three lines are given such that no two of them are parallel and they are not concurrent then a definite triangle is formed by them. There are four circles which touch sides of a triangle (3-excircles and 1-incircle)

$∴$ numbers of circles $= 4$ .

Suggest Corrections

thumbs-up

15

Similar questions

Q. Number of different circles that can be drawn touching

3

lines, no two of which are parallel and they are neither coincident nor concurrent, are-

n

lines are drawn in a plane such that no two of them are parallel and no three of them are concurrent. The number of different points at which these lines will cut is

Q. Eight straight lines are drawn in the plane such that no two lines are parallel and no three lines are concurrent. The number of parts into which these lines divide the plane is:

Q. Six straight lines are drawn in the plane such that no two lines are parallel and no three lines are concurrent. Then find the number of parts into which these lines divide the plane.

Q. Total number of regions in which '

n

' coplanar lines can divide the plane, it is known that no two lines are parallel and no three of them are concurrent, is equal to

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Combination Based on Geometry

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon