CameraIcon

SearchIcon

MyQuestionIcon

1

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

Intersection between Tangent and Secant

AB is a tange...

Question

AB is a tangent to a circle with centre O and A is the point of contact. If , prove that AB = OA.

Open in App

Solution

It is given that

The figure below represents the given information.

We know that the radius is perpendicular to the tangent at the point of contact.

∴

In ΔOAB:

Therefore, ΔAOB is an isosceles triangle.

∴AB = OA

Suggest Corrections

thumbs-up

0

Similar questions

A B

A C

2

tangent to a circle with centre

O

∠ B A C = 120^{o}

then Prove that

O A = 2 A B

Q. AB is tangent to the circle with centre O at A and

O A = A B

∠ A B O

.

In Fig. 8.67, two tangents AB and AC are drawn to a circle with centre O such that $∠ B A C = 120^{\circ}$ . Prove that OA =2AB.

Q. In the given figure, two tangents AB and AC are drawn to a circle with centre O such that ∠BAC = 120°. Prove that OA = 2AB.

X Y

X^{'} Y^{'}

are two parallel tangents to a circle with centre

O

and another tangent

A B

with point of contact

C

X Y

A

X^{'} Y^{'}

B

∠

A O B

= 90^{o}

.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Intersection between Tangent and Secant

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Intersection between Tangent and Secant

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon