If `a, b and c` are distinct and `D = |(a,b,c),(b,c,a),(c,a,b)|.` then the square of the determinant of its cofactors is divisible by

a,b and c are distinct real numbers such that a:(b+c)=b:(c+a)

If the value of a third order determinant is 11, then the value of the square of the determinant formed by the cofactors will be a)11 b)121 c)1331 d)14641

If a, b,c are distinct positive real numbers, then the vlaue of the determinant , |(a,b,c),(b,c,a),(c,a,b)| .

Given Delta=[(a+b,b+c,c+a),(b+c,c+a,a+b),(c+a,a+b,b+c)] Express given determinant as the sum of 8 determinants.

Using the factor theorem it is found that b + c , c + a and a + b are three factors of the determine : |(-2a,a+b,a+c),(b+a,-2b,b+c),(c+a,c+b,-2c)| . The other factor in the value of the determine is :