1. AB and CD are two parallel chords drawn on two opposite sides of their parallel diameter such that AB = 6 cm, CD = 8 cm. If the radius of the circle is 5 cm, the distance between the chords, in cm, is
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By: anil on 05 May 2019 01.50 am
OE $$perp$$ CD => DE = 4 cm Similarly, BF = 3 cm From $$ riangle$$ODE => $$OE = sqrt{(OD)^2 - (DE)^2}$$ => $$OE = sqrt{5^2 - 4^2} = sqrt{9} = 3$$ cm Similarly, OF = 4 cm $$ herefore$$ EF = OE + OF = 3 + 4 = 7 cm
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