MyQuestionIcon

1

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

Trigonometric Ratios of Compound Angles

If PT is a ta...

Question

If PT is a tangent at T to a circle whose centre is O and $O P = 41 c m, O T = 9 c m$ , then tength of PT is

A

40 c m

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

B

32 c m

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

C

21 c m

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

D

None

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

Open in App

Solution

The correct option is A $40 c m$
$P T^{2} = O P^{2} - O T^{2} \Rightarrow P T^{2} = 41^{2} - 9^{2} = 1600$
$P T = 40$

Suggest Corrections

thumbs-up

0

Similar questions

P T

is a tangent at

T

to a circle whose centre is

O

O P = 17 c m, O T = 8 c m

, Find the length of the tangent segment

P T

.

Q. In the given figure, PT is a tangent to a circle with centre O. If OT = 6 cm and OP = 10 cm, then the length of tangent PT is
(a) 8 cm
(b) 10 cm
(c) 12 cm
(d) 16 cm

Q. In the figure, PT is a tangent to the circle with centre O. If

P T = 30

cm and diameter of the circle is 32 cm, then the length of line segment OP will be

Q. In a circle of radius 7 cm, tangent PT is drawn from a point P, such that PT = 24 cm. If O is the centre of the circle, then OP = ?

(a) 30 cm
(b) 28 cm
(c) 25 cm
(d) 18 cm

Q. In a circle of radius 7 cm, tangent PT is drawn from a point P, such that PT = 24 cm. If O is the centre of the circle, then OP = ?
Figure

(a) 30 cm
(b) 28 cm
(c) 25 cm
(d) 31 cm

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Compound Angles

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Trigonometric Ratios of Compound Angles

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon