JEE Main 2021
Properties of Triangle
Properties of Triangle
Easy
Question
Let the orthocentre and centroid of a triangle be A(-3, 5) and B(3, 3) respectively. If C is the circumcentre of this triangle, then the radius of the circle having line segment AC as diameter, is :
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Solution
In a triangle, orthocentre, centroid and circumcenter are collinear and centroid divides orthocenter and circumcenter in 2 : 1 ratio. Here AB = 2 BC BC AB + BC AC is the diameter of the circle. Radius AC