Let A,B,C be vertices of a triangle ABC in which B is taken as origin of reference and position vectors of A and C are `veca and vecc` respectively. A line AR parallel to BC is drawn from A PR (P is the mid point of AB) meets AC and Q and area of triangle ACR is 2 times area of triangle ABC: (( PQ)/(QR)).((AQ)/(QC))` is equal to (B) ``1/10` (C) `2/5` (D) `3/5`

Let A,B,C be vertices of a triangle ABC in which B is taken as origin of reference and position vectors of A and C are veca and vecc respectively. A line AR parallel to BC is drawn from A PR (P is the mid point of AB) meets AC and Q and area of triangle ACR is 2 times area of triangle ABC Position vector of R in terms veca and vecc is (A) veca+2vecc (B) veca+3vecc (C) veca+vecc (D) veca+4vecc

Let A,B,C be vertices of a triangle ABC in which B is taken as origin of reference and position vectors of A and C are veca and vecc respectively. A line AR parallel to BC is drawn from A PR (P is the mid point of AB) meets AC and Q and area of triangle ACR is 2 times area of triangle ABC Positon vector of Q for position vector of R in (1) is (A) (2veca+3vecc)/5 (B) (3veca+2vecc)/5 (C) (veca+2vecc)/5 (D) none of these

Consider a triangle OAB on the xy- plane in which O is taken as origin of reference and position vector of A and B are vec aandvec b respectively. A line AC parallel to OB is drawn a from A. D is the mid point of OA. Now a line DC meets AB at M. Area of DeltaABC is 2 times the area of DeltaOAB On the basis of above information, answer the following questions 1. Position vector of point C is 2. Position vector of point M is

In the given figure, in triangle ABC, D is the mid-point cf AB and P is any point on BC. If CQ || PD meets AB in Q and area of triangle ABC = 30 cm2, then, area of triangle BPQ is

If veca , vecb, vecc are the position vectors of the vertices. A,B,C of a triangle ABC. Then the area of triangle ABC is

Suppose P, Q and R are the mid-points of sides of a triangle of area 128 cm^2 . If a triangle ABC is drawn by joining the mid-points of sides of triangle PQR, then what is the area of triangle ABC?

Let ABC be a triangle whose circumcenter is at P, if the positions vectors of A,B,C and P are veca,vecb,vecc and (veca + vecb+vecc)/4 respectively, then the positions vector of the orthocenter of this triangle, is: