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In the given figure, O is the centre of the circle. Given that OD = OE = 3 cm and AD = 4 cm.

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In the given figure, O is the centre of the circle. Given that OD = OE = 3 cm and AD = 4 cm. Find the length of the longest chord.

(a) 6 cm

(b) 8 cm

(c) 10 cm

(d) 9 cm

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1 Answer

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Correct option is (c) 10 cm

Given, OD ⊥ AB

Thus, In △OAD

OA2 = OD2 + AD2

OA2 = 32 + 42

OA = 5 cm

Thus, radius of the circle is 5 cm. Hence, the diameter of the circle or the longest chord is 10 cm.

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