Three non parallel tangents are drawn in a circle. What is the probability that it would be an incircle.

M4maths Previous Puzzles

29 Apr 2014 Probability Three non parallel tangents are drawn in a circle. What is the probability that it would be an incircle.: OPtion
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; Correct Option: 3 Best Solution (2)

Ann Theressa 10 years AGO

Let there be n points on the circle
Probability that the circle is an incircle for the 3 tangents
= 1/(2n-2)*2*{1/(2n-4)+2/(2n-4)+....+(n-2)/(2n-4)}
= 1/(2n-2)*1/(2n-4)*2*{1+2+3+....+(n-2)}
=1/4*1/(n-1)*1/(n-2) *(n-2)*(n-1)
= 1/4

Like? Yes (5) | No (3)

steffy edmond 10 years AGO

Ans: option 3)1/4

Like? Yes (3) | No (2)

Dimple

India

Punjab

Time: 00:01:33

Points

Maths Quotes

Six is a number perfect in itself, and not because God created the world in six days; rather the contrary is true. God created the world in six days because this number is perfect, and it would remain perfect, even if the work of the six days did not exis

Saint Augustine of Hippo

MATHEMATICS is the key of every problem.

vivek .R

Placed User Comments

M4Math helped me a lot.

Vipul Chavan 4 years ago

Thanks m4 maths for helping to get placed in several companies.
I must recommend this website for placement preparations.

yash mittal 5 years ago

Three non parallel tangents are drawn in a circle. What is the probability that it would be an incir

M4maths Previous Puzzles

29 Apr 2014 Probability