Questions
If the centroid and circumcentre of a triangle are ( 3,3) and ( 6, 2) respectively, then the orthocenire, is
a
( - 3 , 5)
b
( - 3 , 1)
c
( 3, - 1)
d
( 9, 5)
detailed solution
Correct option is A
We know that the centroid G(3,3), circumcentre O(6,2) and orthocentre O' (x, y) are collinear such that G divides OO' in the ratio 1 : 2. Therefore,3=x+121+2 and 3=y+41+2⇒x=−3 and y=5Hence, the coordinates of the orthocentre are ( - 3, 5).Talk to our academic expert!
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If an triangle circumcentre and orthocentre then the coordinates of the midpoint of the side opposite to A are
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