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Six points  are taken on the circle  such that  and . The line segment joining orthocenter of a triangle made by any three points and the centroid of the triangle made by other three points passes through a fixed points , then  is

a)

1

b)

2

c)

3

d)

4



Question ID - 56030 | SaraNextGen Top Answer

Six points  are taken on the circle  such that  and . The line segment joining orthocenter of a triangle made by any three points and the centroid of the triangle made by other three points passes through a fixed points , then  is

a)

1

b)

2

c)

3

d)

4

1 Answer
127 votes
Answer Key / Explanation : (c) -

(c)

Let  ad

Let  be the orthocenter of the triangle made by  and

 is

Similarly let  be the centroid of the triangle made by other three points

 is 

The point dividing  is the ratio is

127 votes


127