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

If 2s =a+b+c,prove that, |{:(" "a^2,(s-a)^2,(s-a)^2),((s-b)^2," "b^2,(s-b)^2),((s-c)^2,(s-c)^2," "c^2):}|=2s^3(s-a)(s-b)(s-c)

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

In triangleABC if c^2=a^2+b^2 then 4s(s-a)(s-b)(s-c)=

If in a triangle (s-a)/11=(s-b)/12=(s-c)/13, then tan^2(A/2)

Suppose A, B, C are defined as A=a^2b+a b^2-a^2c-a c^2 , B=b^2c+b c^2-a^2b-a b^2 - bc^2, and C=a^2c +'a c^2-b^2' c-b c^2, w h e r ea > b > c >0 and the equation A x^2+B x+C=0 has equal roots, then a ,b ,c are in AdotPdot b. GdotPdot c. HdotPdot d. AdotGdotPdot

If S= at^2+bt+c find [ds/dt]_'t=2

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

Which of the following electronic configurations has the lowest ionization enthalpy ? (a) 1s^2 , 2s^2 , 2p^5 , ,(b) 1s^2 , 2s^2 , 2p^6 (c) 1s^2 , 2s^2 , 2p^6 , 3s^2 .

Prove that, |(2a, a-b-c,2a),(2b,2b,b-c-a),(c-a-b,2c,2c)|=(a + b+c)^3

Show that: abs(((b+c)^2,a^2,bc) , ((c+a)^2,b^2,ca) , ((a+b)^2,c^2,ab))=(a^2+b^2+c^2)(a+b+c)(b-c)(c-a)(a-b)