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A tower P Q stands at a point P within t...

A tower `P Q` stands at a point `P` within the triangular park `A B C` such that the sides `a , ba n dc` of the triangle subtend equal angles at `P ,` the foot of the tower. if the tower subtends angles `alpha,betaa n dgamma,a tA , Ba n dC` respectively, then prove that `a^2(cotbeta-cotgamma)+b^2(cotgamma-cotalpha)+a^2(cotalpha-cotbeta)=0`

A

-1

B

0

C

1

D

a + b + c

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The correct Answer is:
B
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