Question

in a circle the length of the tangent is 12cm and radius is 5cm then find the distance of the of the point of tangent from center of the circle​

Answer 1

Answer:

Correct option is

C

5 cm

It is given that the tangent of circle is 12 cm and distance of Q from the centre is 13 cm.

Since the radius OT is perpendicular to QT, therefore,

OT

2

=OQ

2

−QT

2

⇒OT

2

=13

2

−12

2

⇒OT

2

=169−144

⇒OT

2

=25

⇒OT=

25

⇒OT=5cm

Hence option C is correct.