Let the orthocentre and centroid of a triangle be `A(-3,5) and B(3,3)` respectively. If C is the circumcentre of the triangle then the radius of the circle having line segment AC as diameter, is

Let the orthocentre and centroid of a triangle be `A(-3,5) and B(3,3)`

1.	Let the orthocentre and centroid of a triangle be `A(-3,5) and B(3,3)` respectively. If C is the circumcentre of the triangle then the radius of the circle having line segment AC as diameter, is
Answer» Centroid divides Orthocenter and Circumcentre in the ratio 2:1 respectively.By using Section formula, we get`(2x-3)/3=3`& `(2y+5)/3=3`So, (x,y)=(6,2)`AC=sqrt((6+3)^2+ (2-5)^2)``AC=sqrt90`Required Radius=AC/2=4.74

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Let the orthocentre and centroid of a triangle be `A(-3,5) and B(3,3)` respectively. If C is the circumcentre of the triangle then the radius of the circle having line segment AC as diameter, is

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