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There are 10 points in a plane of which ...

There are 10 points in a plane of which no three points are collinear and four points are concyclic. The number of different circles that can be drawn through at least three points of these points is a. `116` b. `120` c. `117` d. none of these

A

116

B

117

C

120

D

none of these

Text Solution

Verified by Experts

Since any there non-collinear points are always concyclie.
`:.` Required number of circles `=(""^(10)C_(3)-""^(4)C_(3))+1=117`.
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