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Two circles are constructed taking two sides of a triangle as a diameter then the probability of these two circle intesecting on the 3rd side is

Two circles are constructed taking two sides of a triangle as a diameter then the probability of these two circle intesecting on the 3rd side is

Grade:9

1 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
8 years ago
Hello Student,
Let circles are drawn on AB and AC of ABC
Let there point of intersection other than A be D
as AB is diameter of circle at AB we get ABD=pi/2
as AC is diameter of circle at AC we get ADC=pi/2
=> collinear
So the probablity is 1.
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

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