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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)
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