KVPY SA Exam 2016 Question Paper

Question : 8 of 80

Marks: +1, -0

Three circles of radii 1, 2 and 3 units respectively touch each other externally in the plane. The circumradius of the triangle formed by joining the centers of the circles is

Validate

Solution:

Formed triangle will be right angle whose sides are 3, 4, 5
So. circumradius

=\text" length of hypotenuse"/2=2.5

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