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ABC is any triagnel inscribed in 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 ` ?

A

Its centroid is a fixed point.

B

Its circumcentre is a fixed point.

C

Its orthocentre is a fixed point.

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
1,2,3

Orothocentre of `Delta ADE ` is A itself circumcentre is at origin. Hence, centroid is also a fixed point.
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