The diameters of 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.

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  1. 2
  2. 3
  3. 1
  4. 4

Answer (Detailed Solution Below)

Option 2 : 3
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Detailed Solution

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Given:

The diameters of the two circles are 12 cm and 20 cm

The distance between their centres is 16 cm

Calculation:

F1 SSC Amit A 09-03-2023 D5

F2 SSC Mrunal 02.05.2023 D1

According to the diagram,

The two circles are touching each other externally

So, the number of common tangents will be 3

∴ The required answer is 3.

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