If P is a point on the plane of `DeltaABC` such that `bar(PA) + bar(PB) + bar(PC) = 0`, then, for `Delta` ABC, the point P is

If P is a point in th e plane of D ABCD such that bar(AP) + bar(PB) + bar(CP) + bar(PD) = bar0 , then the quadrilateral is in general, a

Let O be an interior point of DeltaABC such that bar(OA)+2bar(OB) + 3bar(OC) = 0. Then the ratio of a DeltaABC to area of DeltaAOC is

Let O be an interior point of DeltaABC such that bar(OA)+2bar(OB) + 3bar(OC) = 0 . Then the ratio of a DeltaABC to area of DeltaAOC is

Let O be an interior point of DeltaABC such that bar(OA)+2bar(OB) + 3bar(OC) = 0 . Then the ratio of a DeltaABC to area of DeltaAOC is

Let O be an interior point of DeltaABC such that bar(OA)+2bar(OB) + 3bar(OC) = 0 . Then the ratio of a DeltaABC to area of DeltaAOC is

If A, B, C and D are four non-collinear points in the plane such that bar(AD)+bar(BD)+bar(CD)=bar(0) , then prove that the points D is the centroid of the triangle ABC.

Let O be an interior point of Delta ABC such that bar(2OA)+bar(5OB)+bar(10OC)=bar 0. If the ratio of the area of Delta ABC to the area of Delta AOC is t, where 'O' is the origin. Find [t].(where [ ] denotes greatest integer function)

ABC is an equilateral triangle. P and Q are two points on bar(AB) and bar(AC) respectively such that bar(PQ) || bar(BC) . If bar(PQ) = 5cm , then area of Delta APQ is :

If P be a point in the interior of equilateral triangle ABC such that PA=3,PB=4 and PC=5 then find a.

If P is a point inside Delta ABC such that BC(vec PA)+CA(vec PB)+AB(vec PC)=vec O then P is the .....