Prove that the point `(-1/14,39/14)` is the centre of the circle circumscribing the triangle whose angular points are `(1, 1), (2,3),and (-2,2).`

Show that (1, -1) is the centre of the circle circumscribing the triangle whose vertices are (4, 3), (-2, 3) and (6, -1).

The equation of the circle circumscribing the triangle formed by the points (3, 4), (1, 4) and (3, 2) is :

The equation of the circle circumscribing the triangle formed by the points (3, 4), (1, 4) and (3, 2) is :

Find the orthocentre of the triangle ABC whose angular points are A(1,2),B(2,3) and C(4,3)

Find the equations to the altitudes of the triangle whose angular points are A(2,-2),B(1,1) and C(-1,0)

The centre of the circle circumscribing thesquare whose three sides are 3x+y=22,x-3y=14 and 3x+y=62

Prove that the coordinates of the centre of the circle inscribed in the triangle,whose vertices are the points (x_(1),y_(1)),(x_(2),y_(2)) and (x_(3),y_(3)) are (ax_(1)+bx_(2)+cx_(3))/(a+b+c) and (ay_(1)+by_(2)+cy_(3))/(a+b+c)

Find the equations to the altitudes of the triangle whose angular points are A(2,-2),B(1,1)a n dC(-1,0)dot

The point (-1,4,-2) lie in the octant