Question : The diameters of the two circles are 12 cm and 20 cm, respectively and the distance between their centres is 16 cm. Find the number of common tangents to the circles.
Option 1: 2
Option 2: 3
Option 3: 1
Option 4: 4
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Correct Answer: 3
Solution :
The diameters of the two circles are 12 cm and 20 cm.
The distance between their centres is 16 cm.
According to the diagram,
The two circles are touching each other externally.
So, the number of common tangents will be 3.
Hence, the correct answer is 3.
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