wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

M and N are points on the sides PQ and PR respectively of a ΔPQR. For each of the following cases state whether MN is parallel to QR
A. PM= 4, QM = 4.5, PN = 4, NR = 4.5
B. PQ= 1.28, PR= 2.56, PM = 0.16, PN= 0.32

A
only in case A
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
only in case B
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
both in the case A & B
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C both in the case A & B


Case I PMQM=44.5 and PNNR=4.5
PMPQ=PNPR=49.5

Case II PMPQ=0.161.28
And PNPR=0.322.56=0.161.28
Hence, PMPQ=PNPR
Therefore MN is parallel to QR in both the cases (By converse of proportionality theorem)

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Bulls Eye View of Geometry
QUANTITATIVE APTITUDE
Watch in App
Join BYJU'S Learning Program
CrossIcon