1.

The vertices of a triangle are (6,0),(0,6) and (6,6). The distance between its circumcentre and centroid is (a) 2 (b) √2  (c) 1  (d) 2√2

Answer»

clearly the given triangle is a right angle triangle, right angle at (6,6) centroid (4,4)  and circumcentre of a triangle lies on the midpoint of hypt.   

circumcentre {(6+0)/2,(0+6)/2} =(3,3)  

now distance ={(4-3)2 +(4-3)2}1/2                           

 =√2



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