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Standard X
Maths
Question

In the following figure PT is of length 8 cm. OP is 10 cm. Then the radius of the circle is _______.

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  1. 2 cm
  2. 18 cm
  3. 1 cm
  4. 6 cm

A
1 cm
B
6 cm
C
2 cm
D
18 cm
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Solution
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Radius dropped on any tangent to a circle touches the circle at 90∘

⇒OP2=OT2+PT2
⇒100=64+OT2

∴OT=6 cm

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728189_72adbfcb4e1241ba9d5dbd75582cbc97.png
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