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The sides AC,BC and AB of a triangle ABC...

The sides AC,BC and AB of a triangle ABC are tangents to its incircle at D,E and F, respectively. Point D lies on the hypotenuse AC such that D is the circumcentre of the triangle ABC. Find EF:AC.

A

`1/root(2)(2)`

B

`1/2+sqrt2`

C

`1/2-sqrt2`

D

none of these

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The correct Answer is:
B
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