if two circles touching externally how many common tangents of them can be drawn
Answers
Answer:
The common tangents which can be drawn if two circles are touching externally at a single point = 3
Step-by-step explanation :
For better understanding of the solution see the attached figure of the problem :
When the two circles are touching externally only at a one point.
The one tangent will be at the point of touching where the two circles are touching each other
The second tangent will be at the bottom which will touch both the circle
The third tangent will be at the top which will also passes by touching both the circles
Therefore, The common tangents which can be drawn if two circles are touching externally at a single point = 3
Given : बाहेरून स्पर्श करणाऱ्या दोन वर्तुळांना
Two circles touching outside each other
To Find : जास्तीत जास्त किती सामाईक स्पर्शिका काढता येतील
maximum number of common tangents that can be drawn?
(A) एक One
(B) दोन Two
(C) तीन Three
(D) चार Four
Solution:
maximum number of common tangents that can be drawn to Two circles touching outside each other = 3
one at the touching point and two more
Two circles touching each other one inside then 1 common tangent
Two circles not touching then 4 common tangents
Two circles intersecting then 2 common tangents
maximum number of common tangents that can be drawn to Two circles touching outside each other = 3
एकमेकांना बाहेरून स्पर्श करणाऱ्या दोन वर्तुळांना जास्तीत जास्त तीन 3 सामाईक स्पर्शिका काढता येतील
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