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

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 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 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).

If p^(2) (a^(2) +b^(2) +c^(2)) -2p (ab +bc +cd) +(b^(2) +c^(2) +d^(2)) le 0 then which of the following statement is true?

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)