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Pls anyone solve this.Fast i need answer im unable to solve it

Pls anyone solve this.Fast i need answer im unable to solve it

Question Image
Grade:12

1 Answers

Shashank Singh
askIITians Faculty 57 Points
3 years ago
let the sides of an equilateral triangle be ‘a’
now using using geometry
we get the radius of circumcircle = R=a/v3
and radius of incircle = r= a/2v3
area of cicumcircle = pi*a^2/3
area of incircle = pi*a^2/12
the required probability = (area of circumcircle – area of incircle)/area of circumcircle
P(E)= (pi*a^2/3-pi*a^2/12)/pi*a^2/3
on solving we get P(E)=3/4= lambda1/lambda2
so, lambda1+lambda2= 7.......... [ans]

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