In the given figure, B and C are the cen...

In the given figure, B and C are the centres of the two circles. ADE is the common tangent to the two circles. If the ratio of the radius of both the circles is 3 : 5 and AC = 40, then what is the value of DE?

A

`3 sqrt15`

B

`5 sqrt15`

C

`6 sqrt15`

D

`4 sqrt15`

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