The length of chord which is at a distance of 12 cm from centre of circle of radius 13 cm is:

12 cm

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13 cm

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5 cm

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10 cm

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Solution

The correct option is D
10 cm

Using Pythagoras theorem:

OA² = OM² + AM²

AM² = OA² - OM²

AM² = 13² - 12²

AM² = 169 - 144

AM² = 25

AM = 5 cm

AB = 2 AM

AB = 2 x 5 cm = 10 cm

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