There exists triangle ABC satisfying

Let in a triangle ABC sides opposite to vertices A B&C be a b&c then there exists a triangle satisfying (1) tan A+tan B+tan C=0 (2) (sin A)/(2)=(sin B)/(3)=(sin C)/(7) (3) (a+b)^(2)=c^(2)+ab (4) Not possible

Let in a triangle ABC sides opposite to vertices A B&C be a, b, & c then there exists a triangle satisfying (A) tan A+tan B+tan C=0 (B) (sin A)/(2)=(sin B)/(3)=(sin C)/(7) (C) (a+b)^(2)=c^(2)+ab (D) Not possible

There can exist a triangle ABC satisfying the conditions :

In a triangle ABC