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Orthocentre and centroid of a triangle are A(−3,5) and B(3,3) respectively. If C is thecircumcentre and AC is the diameter of this circle, then find the radius of the circle |
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Answer» (centroid ) divides orthocentre and CIRCUMCENTRE in ratio 2:1 Lets circumcentre be (c)=(x,y) (3,3);B= 3 2(x)+1+(−3)
, 3 2(y)+1(5)
2x−3=9⇒x=6 2y+5=9⇒y=2 Circumcentre will be (6,2) AC is a diameter . A(−3,5) C(6,2) AC= 9 2 +3 2
= 90
RADIUS = 2 AC
= 2 90
= 7 90
2 45
= 2
3 5
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