Q2. Three circles touch each other apo
externally. The distance between
their centres is 5 cm, 6 cm and 7
cm. Find the radii of the circles.
Al 2 cm, 3 cm, 4 cm
B\ 1 cm, 2 cm, 4 cm
C\ 1 cm, 2.5 cm, 3.5 cm
D) 3 cm, 4 cm, 1 cm
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Answer:
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ANSWER
AB=x+y=7–eq.1
BC=y+z=8–eq.2
CA=z+x=9–eq.3
From eq.3,
z=9−x
Substituting this in eq.2
y+9–x=8
⟹x–y=1−eq.4
Solving eq.1 and eq.4
x=4
z=4−1=3
y=9−4=5
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