Two circles touch each other internally. Their radii are

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Two circles touch each other internally. Their radii are 2 cm and 3 cm. The biggest chord of the greater circle which is outside the inner circle is of length

1. 2√2 cm
2. 3√2 cm
3. 2√3cm
4. 4√2 cm

Correct Option: D

According to question , we draw a figure of two circles touch each other internally ,

Given , ƠA = 3 cm and OA = 2 cm
CA = 6 cm
ƠD = 3 cm
ƠB = 1 cm
BD = √3² - 1 = 2√2
∴ DE = 4√2 cm