prove that teh lines represented by ax^3+bx^2y+cxy^2+dy^3=0 will bisect teh angles between teh oder two if (3a+c)^2(bc+2cd-3ad)=(b+3d)^2(bc+2ab-3ad)
dbt
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1 Answers
1divide the given equation by x3----we get,
a+bm+cm2+dm3=0,as y=mx
then try to find the relation using theory of sum and products of roots.
m1+m2+m3=-b/a...
Its still a bit lengthy soln.
