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In a circle of radius 17 cm, two paralle...

In a circle of radius 17 cm, two parallel chords of lengths 30 cm and 16 cm are drawn. If both the chords are on the same side of the center, then the distance between the chords is.
17 सेमी. की त्रिज्या वाले वृत में 30 सेमी. और 16 सेमी लंबाई की दो समांतर जीवाएं खींची गई हैं। यदि दोनों जीवाएँ केन्द्र की एक ही ओर हों तो जीवाओं के बीच की दूरी क्या होगी?

A

A)9 cm.

B

B)7 cm

C

C)23 cm

D

D)11 cm

Text Solution

Verified by Experts

The correct Answer is:
B
जीवा MN तथा AB है
`OP bot MN " तथा " OQ bot AB`
`:. MP =PM =30/2 =15`
`AQ = QB =16/2 =8 cm`
`:. OP = sqrt(OM^2 -MP^2)`
`=sqrt(17^2-15^2)`
`=sqrt(289-225)=8 cm`
तथा `OQ = sqrt(OA^2-AQ^2) =sqrt(17^2-8^2)=15 cm`
अभीष्ट दूरी `= PQ = OQ-OP = 15-8= 7 cm`
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