`(1/a-1/(b+c))/(1/a+1/(b+c))(1+(b^2+c^2-a^2)/(2b c)):(a-b-c)/(a b c)`

Value of |(1,a,a^2),(1,b,b^2),(1,c,c^2)| is (A) (a-b)(b-c)(c-a) (B) (a^2-b^2)(b^2-c^2)(c^2-a^2) (C) (a-b+c)(b-c+a)(c+a-b) (D) none of these

Value of |(1,a,a^2),(1,b,b^2),(1,c,c^2)| is (A) (a-b)(b-c)(c-a) (B) (a^2-b^2)(b^2-c^2)(c^2-a^2) (C) (a-b+c)(b-c+a)(c+a-b) (D) none of these

|[1/c,1/c,-(a+b)/c^2],[-(b+c)/c^2,1/a,1/a],[(-b(b+c))/(a^2c),(a+2b+c)/(ac),(-b(a+b))/(ac^2)]| is

|[1/c,1/c,-(a+b)/c^2],[-(b+c)/a^2,1/a,1/a],[(-b(b+c))/(a^2c),(a+2b+c)/(ac),(-b(a+b))/(ac^2)]| is

(1)/(c),(1)/(c),-(a+b)/(c^(2))-(b+c)/(c^(2)),(1)/(a),(1)/(a)(-b(b+c))/(a^(2)c),(a+2b+c)/(ac),(-b(a+b))/(ac^(2))]| is

|[1/c,1/c,-(a+b)/c^2],[-(b+c)/a^2,1/a,1/a],[(-b(b+c))/(a^2c),(a+2b+c)/(ac),(-b(a+b))/(ac^2)]| is (a) dependent on a,b,c (b) dependent on a (c) dependent on b (d) independent on a,b and c

If a b+b c+c a=0 , then what is the value of (1/(a^2-b c)+1/(b^2-c a)+1/(c^2-a b)) ? (a) 0 (b) 1 (c) 3 (d) a+b+c

([1,1,1a,b,ca^(2),b^(2),c^(2)])=(a-b)(b-c)(c-a)