CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

In the given figure, D is the midpoint of QR. The line PD is bisected at E. QE is produced to cut PR at A. The line DB is parallel to QA and cuts PR at B. Then PA= ______


A

AB

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

BR

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

AB and BR

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

Neither AB nor BR

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C

AB and BR


In PDB
(i)EADB (given)
(ii)E is mid point of PD (given)
(iii)A is midpoint of PB (Converse of mid-point theorem)
i.e., PA=AB
In RQA
(iv) D is mid point of QR (given)
(v) DBQA (given)
(vi) B is mid point of AR (Converse of mid-point theorem)
AB=BR
Hence, (c).


flag
Suggest Corrections
thumbs-up
0
mid-banner-image
mid-banner-image
Join BYJU'S Learning Program
Select...
similar_icon
Related Videos
thumbnail
lock
Proof of Mid-Point Theorem
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
Select...