Question

Orthocentre and centroid of a triangle are a(-3,5) and b(3,3) respectively.if c is the circumvented and ac is the diameter of this circle,then find the radius of the circle

Answer 1

centroid divides line joining orthocentre and circumcentre in the ratio 2:1.

let the circumcentre be (x,y)

 

applying section formula

 

(2x-3)/3=3

or,x=6

 

(2y+5)/3=3

or, y=2

 

therefor circumcenter=(6,2)



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