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The length of chord distant 6 cm from center of a circle of radius 10 cm is : (a) 16 cm

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The length of chord distant 6 cm from center of a circle of radius 10 cm is :

(a) 16 cm

(b) 8 cm

(c) 4 cm

(d) 5 cm

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Answer is (a) 16 cm

In right angled ∆OMA

OA2 = OM2 + AM2

(10)2 = (6)2 + AM2

AM2 = 102 – 62

= 100 – 36

AM2 = M

AM = \(\sqrt { 64 }\) = 8 cm

chord AB = 2 AM = 2 × 8 = 16 cm

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