Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Points X and Y are taken on the sides QR and RS, respectively of a parallelogram PQRS, so that
QX = 4XR and RY = 4YS. The line XY cuts the line PR at Z. Find the ratio PZ : ZR.
Text Solution
Verified by ExpertsThe correct answer is:
C
PVs of vertex P,Q,R,S are (Let) 
, 
, 
, 
using section rule PVs of
and 
again Let 
and 
PVs of point Z may be given as
& also as 
Equating both answers and coefficient of 
& 
(they are representing non collinear vectors 
) 
= 
and 
= 
Solving these equations gives 
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Find the coordinates of the point when the line through (3, 2, 5) and (–2, 3, –5) crosses the xy pl…
Find the foot of the perpendicular from (1, 6, 3) on the line = = .
(i)Find the cartesian form of the equation of a line whose vector form is given by .
(ii)Find the …
Find the distance between points of intersection of
Lines = = & = = z and
Lines = ( + − ) …
Show that the foot of the perpendicular from the origin to the join of A(–9, 4, 5) and B (11, 0, –1…
Find the equation of the two lines through the origin which intersect the line = = at an angle o…