a^(2)+2ab+b^(2)-c^(2)=

If x^(2)+px+1 is a factor of ax^(3)+bx+c then a a^(2)+c^(2)=-ab b) a^(2)+c^(2)ab c) a^(2)-c^(2)=ab d a^(2)-c^(2)=-ab

If (x^(2)+px+1) is a factor of (ax^(3)+bx+c), then a^(2)+c^(2)=-ab b.a^(2)-c^(2)=-ab c.a^(2)-c^(2)=abd .none of these

If x^(2)+px=1 is a factor of the expression ax^(3)+bx=c, then a^(2)-c^(2)=ab b.a^(2)+c^(2)=-ab c.a^(2)-c^(2)=-ab d.none of these

If r and R are radii of the incircle and circum-circle of DeltaABC, then prove that : 8rR{cos ^(2) A//2 +cos ^(2) B//2 +cos ^(2) C//2} =2bc+2ca+2ab-a^(2) -b^(2) -c^(2).

If r and R are radii of the incircle and circum-circle of DeltaABC, then prove that : 8rR{cos ^(2) A//2 +cos ^(2) B//2 +cos ^(2) C//2} =2bc+2ca+2ab-a^(2) -b^(2) -c^(2).

If r and R are radii of the incircle and circum-circle of DeltaABC, then prove that : 8rR{cos ^(2) A//2 +cos ^(2) B//2 +cos ^(2) C//2} =2bc+2ca+2ab-a^(2) -b^(2) -c^(2).

If r and R are radii of the incircle and circum-circle of DeltaABC, then prove that : 8rR{cos ^(2) A//2 +cos ^(2) B//2 +cos ^(2) C//2} =2bc+2ca+2ab-a^(2) -b^(2) -c^(2).

Prove that |{:(a^(2), a^(2)-(b-c)^(2), bc), (b^(2), b^(2)-(c-a)^(2), ca), (c^(2), c^(2)-(a-b)^(2), ab):}|= (a^(2)+b^(2)+c^(2))(a-b)(b-c)(c-a)(a+b+c)

If a, b, c ,d be in G.P. , show that (i) (b -c)^(2) + (c - a)^(2) +(d -b)^(2) = (a - d)^(2) (ii) a^(2) + b^(2) + c^(2) , ab + bc + cd , b^(2) + c^(2) + d^(2) are in G.P.