Find the length of a transverse common tangent of the two circles whose radii are 3.5 cm, 4.5 cm and the distance between their centres is 10 cm.

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RRB ALP CBT I 17 Aug 2018 Shift 2 Official Paper
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  1. cm
  2. 3.6 cm
  3. 6.4 cm
  4. cm

Answer (Detailed Solution Below)

Option 4 : cm
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Detailed Solution

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Given:

The distance between their centres is 10 cm

Radii are 3.5 cm are 4.5 cm.

Concept used:

The length of a transverse common tangent of the two circles whose radii are r1 and r2 respectively and the distance between their centres is d = 

Calculation:

Now, the length of the transverse common tangent of the two circles

⇒ 

⇒ 

⇒ 6 cm

∴ The length of the transverse common tangent of the two circles is 6 cm.

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