Question

10.The length of tangent drawn to a circle of radius 5cm is 12 cm.Then the distance of external point to the centre of circle is……………​

Answer 1

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Answer

Correct option is

B

5

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