wiz-icon
MyQuestionIcon
MyQuestionIcon
7
You visited us 7 times! Enjoying our articles? Unlock Full Access!
Question

O is any point on the bisector of the acute angle XYZ. From O, a line is extended to join XY such that OP is parallel to ZY. Then, YPO is:


A

Scalene

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

Isosceles but not right angled

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

Equilateral

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

Right & isosceles

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

The correct option is B

Isosceles but not right angled


POY = OYZ (alternate angles)

Y is bisected, so POY = PYO
Hence, PY = PO
So, YPO is isosceles

Also, it is given that XYZ is acute, so any angle which is half of it (bisected by OY) is less than 45.
or PYO + OYZ < 90

Hence, the third angle of the YPO i.e. YPO will be obtuse to satisfy angle-sum property of a triangle.

Hence, YPO is isosceles but not right angled.


flag
Suggest Corrections
thumbs-up
3
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Angles Made by a Transversal
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon