1.

ABC is any triagnel inscribedin the circle x^(2)+y^(2)=r^(2) such that A is fixed point . If the external and internal bisectors of /_A intersect the circle at D and E, respectively, then which of the following statements is true Delta ADE?

Answer»

Its centroid is a fixed point.
Its circumcentre is a fixed point.
Its ORTHOCENTRE is a fixed point.
none of these

Solution :
Orothocentre of `DELTA ADE ` is A itself circumcentre is at origin. HENCE, centroid is also a fixed point.


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