From the adjoining figure , find the distance of the
chord from the centre, if OB = 6 cm and AB = 8 cm
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Answer:
1 cm
Step-by-step explanation:
AB=8cm (given)
AP=28=4cm
CD=6cm
CQ=26=3cm
Radius OA=OC=5cm
In right angled ΔOCQ
OC2+OQ2+QC2
52=OQ2+33
OQ2=52–32
OQ2=25–9=16
OQ=4cm
In right angled ΔAOP
AO2=OP2+AP2
52=OP2+42
OP2=52–42
=25–16=9
OP=3cm
Thus, distance between two parallel lines
PQ=OQ–OP
=4–3=1cm
Thus, PQ=1cm
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