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Question: The orthocenter, circumcentre, centroid and incentre of the triangle formed by lines x + y = a with ...

The orthocenter, circumcentre, centroid and incentre of the triangle formed by lines x + y = a with the coordinate axes lie on :

A

x2 + y2 = 1

B

y = x

C

y = 2x

D

None of these

Answer

y = x

Explanation

Solution

Q D OAB is isosceles with OA = OB orthocentre, centroid, incentre, circumcentre lies on y = x