If `(a, b), (x, y), (p,q)` are the coordinates of circumcentre, centroid, orthocentre of the triangle then

What is the distance between circumcentre and orthocentre of a right angled triangle ?

Write the coordinates of the orthocentre of the triangle formed by the lines x y=0\ a n d\ x+y=1.

Let A(a,b),B(3,4) and C(-6,-8) respectively denote the centroid,circumcentre and orthocentre of a triangle.Then,the distance of the point P(2a+3,7b+5) from the line 2x+3y-4=0 measured parallel to the line x-2y-1=0 is

If coordinates of the circum centre and the orthocentre of a triangle respectively (5,5) and (2,2) then the coordinates of the centroid are

Statement-1: If the circumcentre of a triangle lies at origin and centroid is the middle point of the line joining the points (2,3) and (4,7), then its orthocentre satisfies the relation 5x-3y=0 Statement-2: The circumcentre, centroid and the orthocentre of a triangle is on the same line and centroid divides the lines segment joining circumcentre in the ratio 1:2

Find the sum of coordinates of the orthocentre of the triangle whose sides are x=3,y=4 and 3x+4y=6

In a triangle, if orthocentre, circumcentre, incentre and centroid coincide, then the triangle must be

The equations of three sides of a triangle are x=5,y-2-0 and x+y=9. The coordinates of the circumcentre of the triangle are