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KVPY 2019 SA Exam Previous Papers
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© examsnet.com
Question : 1
Total: 80
PART-I
MATHEMATICS
Let ABC be an equilateral triangle with side length a. Let R and r denote the radii of the circumcircle and the incircle of triangle ABC respectively. Then, as a function of a, the ratio
R
r
strictly increases
strictly decreases
remains constant
strictly increases for a < 1 and strictly decreases for a > 1
Validate
Solution:
In an equilateral triangle R = 2r
⇒
R
r
=
2
,
∀
a
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