Maths Olympiad
Exam
Numerical Ability
Three non parallel tangents are drawn in a circle. What is the probability that it would be an incircle.
Options 1) 1/2
2) 1/3
3) 1/4
4) 1
5) 0
6) 3/4
7) 2/3
8) 4/5
9) 3/5
10)None of these
Read Solution (Total 2)
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- 1
intrsection of internal bisectors gives incircle of triangle
and frm a point outside circle 2 tangnts cn b drawn ,d angle btween lin joining dat point and cntre of circle is equal for both angles hence its a bisector
and infinite tangnts cn b drawn and all satisfy dis condition - 10 years agoHelpfull: Yes(0) No(1)
- option-3(1/4)
three non parallel tangents on a circle will make 3 ex-circles and 1 in circle.
so, probability that it would be an incircle is=1/(1+3)=1/4
- 10 years agoHelpfull: Yes(0) No(0)
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