1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# What property would you use to find angle PTQ?

A
Lengths of tangents drawn from an external point are equal.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
The tangents and the chord between the points of contact form an isosceles triangle.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
Radius is perpendicular to the tangent at the point of contact.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
There can be only two tangents to the circle from point T.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is C Radius is perpendicular to the tangent at the point of contact. In the figure above, we know the ∠POQ We need to find ∠PTQ. For that, first, we need the values of ∠OPT and ∠OQT Now we know a theorem that gives us the angle between a tangent and a radius at the point of contact. We know that PT and QT are tangents to the circle, and OP and OQ are the radii. Thus, ∠OPT and ∠OQT are angles between tangents and their corresponding radii. Hence, we must use the theorem that states that a tangent is perpendicular to the radius at the point of contact.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
MATHEMATICS
Watch in App
Join BYJU'S Learning Program