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CBSE Class 9 Answered

Two parallel chords of a circle whose diameter is 13 cm are respectively 5 cm and 12 cm. Find the distance between them if they lie on opposite sides of centre.
Asked by Topperlearning User | 18 Aug, 2017, 08:55: AM
answered-by-expert Expert Answer

Let OM = x cm and ON = y cm

begin mathsize 12px style In space increment ODM comma space open parentheses 13 over 2 close parentheses squared equals straight x squared plus open parentheses 5 over 2 close parentheses squared end style.....(OM is perpendicular from centre to the chord)

begin mathsize 12px style In space increment ONB comma space open parentheses 13 over 2 close parentheses squared equals straight y squared plus open parentheses 12 over 2 close parentheses squared end style....(ON is perpendicular from centre to the chord)

Distance MNbegin mathsize 12px style equals 6 plus 5 over 2 equals 8.5 space cm end style

Answered by | 18 Aug, 2017, 10:55: AM

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