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

If PQ and PR are tangents to a circle with centre 'O' from an external point P, then sum of PQO and PRO is____.

A
90
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
180
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
270
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
can't be determined.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 180
Join centre 'O' with 'Q' and 'O' with 'R' as shown in figure.

By Theorem- Tangents at any point to a circle is perpendicular to the radius through the point of contact.
OQ is radius and PQ is a tangent and OR is radius and PR is a tangent.
OQ PQ and OR PR.
PQO = 90 and PRO = 90.
Hence, PQO + PRO = 180.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Angle between Tangent and Radius
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon