The distance between the centre of two equal circles, each

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The distance between the centre of two equal circles, each of radius 3 cm, is 10 cm. The length of a transverse common tangent is

1. 8 cm
2. 10 cm
3. 4 cm
4. 6 cm

Correct Option: A

As per the given in question , we draw a figure of two equal circles with centres X and Y ,

We know that , Transverse common tangent = √(Distance between centres)² - (r₁ +r₂)²
Transverse common tangent = √10² - 6² = √16 × 4
Transverse common tangent = 8 cm