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AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24 cm. If the chords are on the opposite sides of the centre and distance between them is 17 cm, then the radius of the circle is :
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- 11 cm
- 12 cm
- 13 cm
- 10 cm
- 11 cm
Correct Option: C
On the basis of question we draw a figure of a circle with centre O , 
Given , AB = 10 cm, AE = 5 cm
Let OE = y
CD = 24 cm , DF = 12 cm
OF = 17 – y
OA = OD
⇒ 5² + y² = 12² + (17 – y)²
⇒ 25 + y² = 144 + 289 – 34y + y²
⇒ 34y = 408
| ⇒ y = | = 12 | |
| 34 |
∴ OA = √5² + 12² = 13 cm
