P and Q are centres of two circles of radii 12 and 3cm respectively. a and B are points of contact of common tangent xy. find a b
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2 circle ⭕
1 radii =12cm 2 radii =3cm
common tangent = xy
Answer___
- PO = 12-3=9 cm
- QO= 12+3=15 cm
in ∆POQ
PO=QO+PQ
PO=9 CM
QO=15CM
( 15 )2 = (PQ) 2 +( 9) 2
(PQ) 2= (15 )2 - (9)2
(PQ) 2= 225 - 81
(Pq)2= 144
(PQ)=√ 144
(PQ)=12
ANSWER =12
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