Let A, B, C, D be four points in space. If P,Q,R,S are points lying on AB, BC, CD, DA respectively such that:
AP/PB=λ , BQ/QC= u, CR/RD= γ, DS/SA=δ.
Prove that P, Q, R, S are coplanar provided
λ u γ δ=1
In a parallogram ABCD, P divides AB in the ratio 2 : 5 and Q divides DC in
the ratio 3 : 2. If AC and P Q intersect at R, find the ratios AR : RC and P R : RQ.
In a parallelogram ABCD, P divides AB in the ratio 2:5 and Q divides DC in the ratio 3:2. If AC and PQ intersect at R , find the ratios AR:RC and PR:RQ
In a parallogram ABCD, P divides AB in the ratio 2 : 5 and Q divides DC in the ratio 3 : 2. If AC and PQ intersect at R, find the ratios AR : RC and PR : RQ.
In a parallelogram ABCD, P divides AB in the ratio 2 : 5 and Q divides DC in the ratio 3 : 2. If AC and PQ intersect at R, find the ratios AR : RC and PR : RQ