Let the centroid of an equilateral triangle A B C be at the origin. Let one of the sides of the equilateral triangle be along the straight line x + y = 3 . If R and r be the radius of circumcircle and incircle respectively of Δ A B C , then ( R + r ) is equal to :

Question

Let the centroid of an equilateral triangle A B C be at the origin. Let one of the sides of the equilateral triangle be along the straight line x + y = 3 . If R and r be the radius of circumcircle and incircle respectively of Δ A B C , then ( R + r ) is equal to :, 9 2, 7 2, 2 2, 3 2

MARKS App · Accepted Answer

Distance from origin to line x + y = 3 is inradius. r = O M = 3 2 & sin 30 ° = 1 2 = r R ⇒ R = 6 2 ∴ r + R = 9 2

Search any question & find its solution

Looking for more such questions to practice?