"The centroid of an equilateral triangle is (0, 0). If two vertices of   the triangle lie on `x+y=2
Channel: Doubtnut
Date: 2020-06-28

"The centroid of an equilateral triangle is (0, 0). If two vertices of
 
  the triangle lie on `x+y=2sqrt(2),`
 
 then one of them will have its coordinates.
 
 (a) `(sqrt(2)+sqrt(6),sqrt(2)-sqrt(6))`
 
 
 
  (b)`(sqrt(2)+sqrt(3),sqrt(2)-sqrt(3))`
 
 
 
 (c)`(sqrt(2)+sqrt(5),sqrt(2)-sqrt(5))`
 
  (d) none of these"