`a,b,c,in N and d = |{:(a,b,c),(c,a,b),(b,c,a):}|` , then the least positive value of D is

Let D_1=|[a, b, a+b], [c, d, c+d], [a, b, a-b]| and D_2=|[a, c, a+c], [b, d, b+d], [a, c, a+b+c]| then the value of |(D_1)/(D_2)| , where b!=0 and a d!=b c , is _____.

Let D_1=|[a, b, a+b], [c, d, c+d], [a, b, a-b]| and D_2=|[a, c, a+c], [b, d, b+d], [a, c, a+b+c]| then the value of |(D_1)/(D_2)| , where b!=0 and a d!=b c , is _____.

If D=|[a,b,c], [c,a,b], [b,c,a]| and D'=|[b+c, c+a, a+b], [a+b, b+c, c+a], [c+a, a+b, b+c]|, then prove that D' = 2D

If a,b,c,d are four positive real numbers such that abcd =1 then find the least value of (a+4) ( b+4) ( c+4) (d+4) .

If a+b+c+d = 24,a+b=c+d,a+c = 2(b+d) and a = b , what is the value of C?

If A=[[a,b] , [c,d]] and B=[[a',b] , [c',d']] then find the value of A-B

If D=abs((a,b,c),(c,a,b),(b,c,a)) and D'=abs((b+c,c+a,a+b),(a+b,b+c,c+a),(c+a,a+b,b+c)) prove that D'=2D

If a ,b ,c are sides of a scalene triangle, then value of |[a, b, c] ,[b, c, a] ,[c, a, b]| is positive (b) negative non-positive (d) non-negative

Let D_1=|a b a+b c d c+d a b a-b|a n dD_2=|a c a+c b d b+d a c a+b+c| then the value of |(D_1)/(D_2)|,w h e r eb!=0a n da d!=b c , is _____.

Let D_1=|a b a+b c d c+d a b a-b|a n dD_2=|a c a+c b d b+d a c a+b+c| then the value of |(D_1)/(D_2)|,w h e r eb!=0a n da d!=b c , is _____.