If A `(x,y), B(1,2) and C(2,1)` are the vertices of a triangle of area 6 square units, show that `x+y=15 or -9`

If (x_1,y_1) , (x_2,y_2) and (x_3,y_3) are the vertices of a triangle whose area is k square units, then |{:(x_1,y_1,4),(x_2,y_2,4),(x_3,y_3,4):}|^2 is

If (x_(1),y_(1)),(x_(2),y_(2)) and (x_(3),y_(3)) are the vertices of a triangle whose area is 'k' square units, then |(x_(1),y_(1),4),(x_(2),y_(2),4),(x_(3),y_(3),4)|^(2) is

If A(x_1,y_1),B(x_2,y_2),C(x_3,y_3) are the vertices of the triangle then find area of triangle

If A(x_(1),y_(1)),B(x_(2),y_(2)),C(x_(3),y_(3)) are the vertices of the triangle then show that:'

A(a, b), B(x_1, y_1) and C(x_2, y_2) are the vertices of a triangle. If a, x_1, x_2 are in GP with common ratio r and b, y_1,y_2 are in GP with common ratio s, then area of triangle ABC is :

If A(x_1,y_1),B(x_2,y_2) and C(x_3,y_3) are the vertices of triangleABC ,find the coordinates of the centroid of the triangle.

If A(x_(1),y_(1)),B(x_(2),y_(2)) and C(x_(3),y_(3)) are the vertices of a triangle then excentre with respect to B is

The coordinates of the vertices of a triangle are (4, -3), (-5, 2) and (x, y). If the centroid of the triangle is at the origin, show that x=y=1 .

If the area of DeltaABC with vertices A(x,y),B(1,2)and C(2,1) is 6 square units, then prove that x + y = 15 or x + y + 9=0.

If the area of DeltaABC with vertices A(x,y),B(1,2)and C(2,1) is 6 square units, then prove that x + y = 15 or x + y + 9=0.