Question
Download Solution PDFThe centres of two circles of radii 20 cm and 32 cm are 60 cm apart. What is the ratio of the length of the direct common tangent to the length of the transverse common tangent to these circles?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
r1 = 32 cm and r2 = 20 cm and the distance between the centers = D = 60 cm.
Length of direct common tangent = √(602 – (32 – 20)2) = √3456
Length of transverse common tangent = √(602 – (32 + 20)2) = √896
Required Ratio = √3456 : √896
divide the number by √128
⇒ 3√3 : √7
∴ The ratio of the length of the direct common tangent to the length of the transverse common tangent to these circles is 3√3 : √7.
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