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Observe the given figure. The distance between the two centers AB is 

F1 SSC Arbaz 6-10-23 D17

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 4)
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  1. 10 cm
  2. 11 cm
  3. 13 cm
  4. 12 cm

Answer (Detailed Solution Below)

Option 3 : 13 cm
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Detailed Solution

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Formula used:

Direct common tangent = √ (distance between the two centers2 - ( r1  - r2)2

Calculation: 

Distance between the two centers is = d cm

As per the formula,

12 = √ (d2 - ( 8  - 3)2.

⇒ 144 = d2 - 25

⇒ d2 = 169

⇒ d = 13

∴ The correct option is 3

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