Centroid of a triangle is origin. Circumcentre of the triangle is the fixed point from where all the lines pass, where
are distinct non-zero real parameters following the relation
The orthocentre of the triangle will be
Now is equation of line and on comparing with the relation
. so circumcentre is
. Centroid is
let orthocentre
so orthocentre is
Hence option 3 is correct.
Study 40% syllabus and score up to 100% marks in JEE