KVPY 2019 SA Exam Previous Papers

Question : 1 of 80

Marks: +1, -0

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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