If the circumcenter of an acute-angled t...

If the circumcenter of an acute-angled triangle lies at the origin and the centroid is the middle point of the line joining the points `(a^2+1,a^2+1)` and `(2a ,-2a),` then find the orthocentre.

Similar Questions

Explore conceptually related problems

The equation of the line joining the points (-3,4,11) and (1,-2,7) is

(iii) Find the direction cosines of the line joining the points (2,4,3) and (1,-2,5)

Find the vector and cartesian equation of the line joining the points (1, -2, 1) and (0, -2, 3).

Find the position vector of the mid point of the vector joining the points P(2,3,4) and Q(4,1,-2).

Find the slope of a line joining the given points (-6,1) and (-3,2)

Find the equation of the circle on the line joining the points (-2,3) and (1,-2) as diameter.

Find the equation of the perpendicular bisector of the line segment joining the points (1, 1) and (2,3).

Find the coordinates of the points of trisection of the line segment joining the points A(2,-2) and B(-7, 4).