If `2s=a+b+c and A=|[a^2,(s-a)^2,(s-a)^2],[(s-b)^2,b^2,(s-b)^2],[(s-c)^2,(s-c)^2,c^2]|` is equal to

In Delta ABC, a^(2)(s-a)+b^(2)(s-b)+c^(2)(s-c)=

If c^2 = a^2 + b^2, 2s = a + b + c , then 4s(s-a) (s - b)(s-c)

If in a triangle ABC, (s-a)/11=(s-b)/12=(s-c)/13. Then 429cot^2 ( A/2 ) is equal to

If {:S=[(a,b),(c,d)]:} , then adj S is equal to

If s=(a+b+c),then value of |{:(s+c,a,b),(c,s+a,b),(c,a,s+b):}| is

If C^(2)+S^(2)=1 , then (1+C+iS)/(1+C-iS) is equal to

In a cyclic quadrilateral ABCD, prove that tan ^(2)""(B)/(2)=((s-a)(s-b))/((s-c)(s-d)),a,b,c, and d being the lengths of sides ABC, CD and DA respectively and s is semi-perimeter of quadrilateral.

If c^(2) = a^(2) + b^(2) , then prove that 4s (s - a) (s - b) (s - c) = a^(2) b^(2)

If acottheta+b"c o s e c"theta=p and bcottheta+a"c o s e c"theta=q , then p^2-q^2= (a) a^2-b^2 (b) b^2-a^2 (c) a^2+b^2 (d) b-a

If a , b , c >0 and s=(a+b+c)/2 , prove that tan^(-1)sqrt((2a s)/(b c))+tan^(-1)sqrt((2b s)/(c a))+tan^(-1)sqrt((2c s)/(a b))=pi