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As shown in the figure AD is the altitud...

As shown in the figure AD is the altitude on BC and AD produced meets the circumcircle of `DeltaABC` at P where DP=x. Similarly EQ=y and FR=z. If a,b,c respectively denotes sides BC, CA and AB then `a/(2x)+b/(2y)+c/(2z)` has the value equal to

A

`tan A+tanB+tanC`

B

`cotA+cotB+cotC`

C

`cosA+cosB+cosC`

D

`cos ecA+cos ecB+ cos ecC`

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The correct Answer is:
B
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