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Grade 12th PassAnalytical Geometry

Let the equation of the side BC of triangle ABC be x+y+2=0. If coordinates of its orthocentre and circumcentre are (1,1) and (2,0) resp., then radius of circumcircle of ABC is???

Explain pls.

Profile image of Aditi Bhatnagar
14 Years agoGrade 12th Pass
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1 Answer

Profile image of Aman  Bansal
14 Years ago

Dear Aditi,

Centroid , circumcenter n orthocentre of a triangle r always
collinear ,ie, these 3 points lie on d same line.

Also ,, centroid divides this line in the ratio 2:1 , just like
the case in a median.
Thus we can get the radius of circum circle,
Best Of luck

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