If the distance between the centers of two circles is 12 cm and the radii are 5 cm and 4 cm, then the length (in cm) of the transverse common tangent is:
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Correct answer: C
Explanation
The correct answer is option 3 i.e. .
The distance between the centers of the two circles is 12 cm
Radii are 5 cm and 4 cm
Transverse common tangent = √(D2 - (R + r)2) ---- (1)
Where D = distance between the center of two circles
R and r are the radius of two circles
Using equation (1), we get
⇒ √(122 - (5 + 4)2) = √(144 - 81) = √63