If `a + x = b + y = c + z + 1` , where a, b,c,x,y,z are non polar distinct real numbers , then `|(x, a+y,x + a),(y , b+y , y + b),(z,c+y, z+c)|` is equal to :

Value of |[x+y, z,z ],[x, y+z, x],[y, y, z+x]|, where x ,y ,z are nonzero real number, is equal to a. x y z b. 2x y z c. 3x y z d. 4x y z

Value of |[x+y, z,z ],[x, y+z, x],[y, y, z+x]|, where x ,y ,z are nonzero real number, is equal to a. x y z b. 2x y z c. 3x y z d. 4x y z

Value of [[x+y, z,z ],[x, y+z, x],[y, y, z+x]], where x ,y ,z are nonzero real number, is equal to x y z b. 2x y z c. 3x y z d. 4x y z

Value of [[x+y, z,z ],[x, y+z, x],[y, y, z+x]], where x ,y ,z are nonzero real number, is equal to x y z b. 2x y z c. 3x y z d. 4x y z

If x=cis A , y=cis B , z =cis C where A, B, C are the angles of a triangle then x y z=

Given the system of equation a(x+y+z)=x, b(x+y+z)=y, c(x+y+z)= z where a,b,c are non-zero real numbers.If the real numbers are such that xyz!=0 ,then (a+b+c) is equal to

If a, b, c and x, y, z are positive, then show that (a/x + b/y + c/z) (x/a + y/b + z/c) ge 9