Question

from a point C, the length of the the tangent to a circle is 8cm and the distance of Q from the centre is 10cm the radius of the circle is perpendicular to the radius though the point of the circle is 6 cm​

Answer 1

ANSWER

Given:- A circle with center O and AB is the tangent from point A.

Radius of circle =OB=8cm

Distance of point from the circle =AO=10cm

To find:- Length of tangent, i.e., AB=?

Solution:-

Since AB is tangent,

Therefore,

AB⊥OB[∵Tangent at any point of circle is perpendicular to the radius through point of contact]

⇒∠ABO=90°

Hence △OAB is a right angle triangle.

Using pythagoras theorem in △OAB,

AO

2

=AB

2

+OB

2

(10)

2

=AB

2

+(8)

2

⇒AB=

100−64

=6cm

Hence the length of tangent is 6cm.

Hence the correct answer is 6cm.

Answer 2

Answer:

I hope it will help you......... ........