Q. 1 G4.4( 13 Votes )

# Choose correct al Let, length of AB = 6cm and length of CD = 8cm

OB = OC = 5cm

We know that a perpendicular drawn from the center of a circle on its chord bisects

the chord.

AM = MB = 3cm

Also, CN = ND = 4cm

In ΔOMB,

OB2 = OM2 + MB2

52 = OM2 + 32

OM2 = 25-9

OM2 = 16

OM = 4cm

In ΔONC,

OC2 = ON2 + CN2

52 = ON2 + 42

ON2 = 25-16

ON2 = 9

ON = 3cm

Distance between AB and CD = OM + ON = 4 + 3 = 7cm

Hence the correct option is D.

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