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If p(1),p(2),p(3) are altitude of a tria...

If `p_(1),p_(2),p_(3)` are altitude of a triangle ABC from the vertices A,B,C and `Delta` the area of the triangle, then `(1)/(p_(1)^(2))+(1)/(p_(2)^(2))+(1)/(p_(3)^(2))=`

A

`(cot A+cos B+cot C)/(Delta)`

B

`(Delta)/(cot A+cos B+cot C)`

C

`Delta (cot A+cos B+cot C)`

D

none of these

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The correct Answer is:
A
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