p/a + q/b + r/c = 1 + i

squaring both sides.....

(p/a)^2 + ( q/b)^2 + (r/c)^2 + 2(pq/ab + qr/bc + pr/ac) = 2i

(p/a)^2 + ( q/b)^2 + (r/c)^2 = 2( i - (pq/ab + qr/bc + pr/ac))....(1)

now consider:

a/p +b/q + c/r = 0

multiply by pqr/abc both sides....

u get;

pq/ab + qr/bc + pr/ac=0

put in equation (1)....

(p/a)^2 + ( q/b)^2 + (r/c)^2 = 2i

 

hope it helps......cheero :)