If `1,w,w^(2)` are cube roots of unity represented on the complex plane by the points `A,B` and `C` respectively. If `P,Q` and `R` are the centroids of `Delta OAB, Delta OBC` and `Delta OAC` respectively then the area of `Delta PQR` is

A plane meets the coordinate axes at A,B and C respectively such that the centroid of triangle ABC is (1,-2,3). Find the equation of the plane.

If 1,omega,omega^(2) are the 3 cube roots of unity,then for alpha,beta,gamma,delta in R

Let P, Q, R be the mid-points of sides AB, BC, CA respectively of a triangle ABC. If the area of the triangle ABC is 5 square units, then the area of the triangle PQR is

(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

In a triangle ABC, points P, Q and R are the mid-points of the sides AB, BC and CA respectively. If the area of the triangle ABC is 20 sq. units, find the area of the triangle PQR

An ideal gas undergoes the process 1 to 2 as shown in the figure, the heat supplied and work done in the process is Delta Q and Delta W respectively. The ratio Delta Q: DeltaW is

A plane P meets the coordinate axes at A B and C respectively . The centroid of Delta ABC is give to be (1,1,2) . Then the equation of the line through this centroid and perpendicular to the plane P is ,

The line x + y = p meets the axis of x and y at A and B respectively. A triangle APQ is inscribed in the triangle OAB, O being the origin, with right angle at Q, P and Q lie respectively on OB and AB. If the area of the triangle APQ is 3//8^(th) of the area of the triangle OAB, then (AQ)/(BQ) is equal to