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

A point P is 13 cm from the centre of the circle. The length of the tangent drawn from P to the circle is 12cm. Find the radius of the circle.


A

The angle subtended by AB at P and Q are either equal or supplementary.

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

The sum of the angle subtended by AB at P and Q is always equal two right angle.

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

The angle subtended at P and Q by AB are always equal.

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

The sum of the angle subtended at P and Q is equal to four right angles

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

The correct option is A

The angle subtended by AB at P and Q are either equal or supplementary.


Since,
tangent to a circle is perpendicular to the radius through the point of contact
So, OTP=900
So, in triangle OTP
(OP)2=(OT)2+(PT)2
132=(OT)2+122
(OT)2=132122
OT2=25
OT=25
OT=5
So, radius of the circle is 5 cm


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Introduction
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon