If area of the triangle with the points A,B and C is equal to zero then the points A,B,C are

If the centroid of the triangle formed by the points (a,b),(b,c) and (c,a) is at the origin, then find the value of a^(3)+b^(3)+c^(3).

In a triangle PQR mark the points A, B, C in the exterior of triangle PQR

Let A(5,-3), B (2,7) and C (-1, 2) be the vertices of a triangle ABC . If P is a point inside the triangle ABC such that the triangle APC,APB and BPC have equal areas, then length of the line segment PB is:

If the centroid of the triangle formed by the points (a,b),(b,c) and (c,a) is at the origin,then a^(3)+b^(3)+c^(3)=abc(b)0(c)a+b+c(d)3abc

Let A(0,-1),B(0,3)andC(2,1) be three points Let Delta_(1) be the area of the triangle ABC and Delta_(2) be the area of the triangle formed by the mid points of the sides of the triangle whose vertices are A,B and C such that (Delta_(1))/(Delta_(2))=(1)/(x) Find the value of x.

(x)/(a) +(y)/(b)+(z)/(c)=1 intersects the co-ordinate axes at points A ,B and C respectively. If Delta PQR has mid-points A,B and C then find area of Delta PQR

Assertion: A pendulam is oscillating between points A , B and C . Acceleration of bob at points A or C is zero. Reason: Velocity at these points is zero.