P and Q are two points on either side of the parallel lines AB and CD so that AB lies between P and CD. Two points L and M are taken on AB and CD. Find another two points X and Y on AB and CD so that (PX + XY + YQ) is a minimum and XY is || LM. CONSTRUCTION : From Q draw QR equal and || to LM; then join PR to cut AB in X. Draw XY || to LM to meet CD in Y. Hence X and Y are the two required points B A R D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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P and Q are two points on either side of the parallel lines AB and CD so
that AB lies between P and CD. Two points L and M are taken on AB and
CD. Find another two points X and Y on AB and CD so that (PX + XY
+ YQ) is a minimum and XY is || LM.
CONSTRUCTION: From Q draw QR equal and || to LM; then join
PR to cut AB in X. Draw XY || to LM to meet CD in Y. Hence X and
Y are the two required points
B
A
R
Y'
Transcribed Image Text:P and Q are two points on either side of the parallel lines AB and CD so that AB lies between P and CD. Two points L and M are taken on AB and CD. Find another two points X and Y on AB and CD so that (PX + XY + YQ) is a minimum and XY is || LM. CONSTRUCTION: From Q draw QR equal and || to LM; then join PR to cut AB in X. Draw XY || to LM to meet CD in Y. Hence X and Y are the two required points B A R Y'
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