The othocentre of the triangle is (2,1) and the circumcentre is (7/2, 5/2) then the centroid is

a)(3,2) b)(2,3) c)(4,2) d)(3,4)

please explain

Hi Halak,

In any trianlge, the Centroid of the triangle divides the orthocentre (H) and Circumcentre (O) in the ratio 2:1 internally.

Hence centroid G will be (3,2)

Option (A).

Hope that helps.

Best Regards,

Ashwin (IIT Madras).

(3,2) O=3G-2S

(2,1)=3G-2(7/2,5/2)

(2,1)=3G-(7,5)

3G=(9,6)

G=(3,2)