Circle 1 Question 6
6. Let the orthocentre and centroid of a triangle be and , respectively. If is the circumcentre of this triangle, then the radius of the circle having line segment as diameter, is
(a)
(b)
(c)
(d)
(2018 Main)
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Answer:
Correct Answer: 6. (c)
Solution:
- Key idea Orthocentre, centroid and circumcentre are collinear and centroid divide orthocentre and circumcentre in
ratio.
We have orthocentre and centroid of a triangle be
Clearly,
We know that,
Now,
Since,