﻿ If the circumcentre of a triangle lies at the origin and centroid is the middle point of the line joining the points (a2 + 1, a2 + 1) and (2a, –2a), then the orthocenter lies on the line. : Kaysons Education

# If The Circumcentre Of A Triangle Lies At The Origin And Centroid Is The Middle Point Of The Line Joining The Points (a2 + 1, a2 + 1) And (2a, –2a), Then The Orthocenter Lies On The Line.

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## Question

### Solution

Correct option is

(a –1)2 x – (a + 1)2 y = 0

We know from geometry that the circumcentre, centroid and orthocentre of a triangle lie on a line. So the orthocentre of the triangle lies on the line joining the circumcentre (0, 0) and the centroid

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