Points ` P, Q` and `R` are in vertical line such that ` PQ =QR`. A ball at (P) is allowed to fall freely. What is the ratio of the times of descent through PQ and QR ?

Points P, Q and R are in a vertical line such that PQ=QR . A ball at P is allowed to fall freely with zero initial speed. The ratio of the times of descent through PQ and OR is

P,Q,R and S are the points in a vertical line. It is given that PQ=QR=RS. A particle is released from rest from the point P. particle takes time t_(PQ),t_(QR) and t_(RS) to cover three equal distance, respectively. Find ratio t_(PQ):t_(QR):t_(RS)

Three points P, Q, R lie on the side BC of triangle ABC such that BP = PQ = QR = RC. If G be centroid of DeltaABC then what is ratio of areas of DeltaPGR and DeltaABC .

If a point Q lies between P and R such that PQ = QR , prove that PR = 2 PQ .

If the points P=(a,2),Q=(1,3) and R=(5,b) are such that PQ=QR. Find 'a' and 'b' if P,Q and R are collinear.

Points P, Q and R lie on sides BC, CA and AB respectively of triangle ABC such that PQ || AB and QR || BC, prove that RP II CA.

If P,Q and R are three collinear points such that vec PQ=vec a and vec QR=vec b. Find the vector vec PR.

P = (-5, 4) and Q = (-2, -3). If bar(PQ) is produced to R such that P divides bar(QR) externally in the ratio 1:2 , then R is