The area of the triangle OAB with vertices `O(0,0),A(x_(1),y_(1))" and B(x_(2),y_(2))` is

The area of the triangle OAB with vertices O(0,0),A(x_(1),y_(1))B(x_(2),y_(2)) is

If a, x_(1), x_(2) are in G.P. with common ration r, and b, y_(1), y_(2) are in G.P. with common ratio s where s-r=2 , then the area of the triangle with vertices (a, b), (x_(1), y_(1)) and (x_(2),y_(2)) is

If a, x_(1),x_(2) are in G.P with common ratio r and b, y_(1),y_(1) are in G.P with common ratio s where s-r=2 , then the area of the triangle with vertices (a,b),(x_(1),y_(1)),(x_(2),y_(2)) is

If a,x_(1),x_(2) are in G.P with common ratio r and b,y_(1),y_(2) are in G.P with common ratio s where s-r=2 , then the area of the triangle with vertices (a,b),(x_(1),y_(1)),(x_(2),y_(2)) is

Area of the triangle with vertices (a,b),(x_(1),y_(1)) and (x_(2),y_(2)) where a,x_(1),x_(2) which in G.P.common ratiorand b,y_(1),y_(2), are in G.P with common ratio s,is

Write the formula for the area of the triangle having its vertices at (x_(1),y_(1)),(x_(2),y_(2)) and (x_(3),y_(3))

The centroid of the triangle with vertices at A(x_(1),y_(1)),B(x_(2),y_(2)),c(x_(3),y_(3)) is

Suppose a,b,cgt0 . If |(x_(1),y_(1),2a),(x_(2),y_(2),2b),(x_(3),y_(3),2c)|=abc , Then area of triangle whose vertices are A(x_(1)/a,(y_(1))/a),B((x_(2))/b,(y_(2))/b) and C((x_(3))/c,(y_(3))/c) is ___

STATEMENT-1 : The centroid of a tetrahedron with vertices (0, 0,0), (4, 0, 0), (0, -8, 0), (0, 0, 12)is (1, -2, 3). and STATEMENT-2 : The centroid of a triangle with vertices (x_(1), y_(1), z_(1)), (x_(2), y_(2), z_(2)) and (x_(3), y_(3), z_(3)) is ((x_(1)+x_(2)+x_(3))/3, (y_(1)+y_(2)+y_(3))/3, (z_(1)+z_(2)+z_(3))/3)