If a b c=0 , then find the value of {(x^a)^b}^c (a)1 (b) a (c)b (d) c

If a+b+c=0 , then (a^2)/(b c)+(b^2)/(c a)+(c^2)/(a b)=?\ (a)0 (b) 1 (c) -1 (d) 3

If a b+b c+c a=0, then solve a(b-2c)x^2+b(c-2a)x+c(a-2b)=0.

If the lines a x+y+1=0,x+b y+1=0, and x+y+c=0(a , b , c being distinct and different from 1) are concurrent, then (1/(1-a))+(1/(1-b))+(1/(1-c)) is (a) 0 (b) 1 1/((a+b+c)) (d) none of these

If the polynomial f(x)=a x^3+b x-c is divisible by the polynomial g(x)=x^2+b x+c , then a b= (a) 1 (b) 1/c (c) -1 (d) -1/c

If 3x=a+b+c , then the value of (x-a)^3+\ (x-b)^3+\ (x-c)^3-3\ (x-a)(x-b)(x-c) is (a) a+b+c (b) (a-b)(b-c)(c-a) (c) 0 (d) None of these

If a and b are roots of the equation x^2+a x+b=0 , then a+b= (a) 1 (b) 2 (c) -2 (d) -1

If the points ((a^3)/((a-1))),(((a^2-3))/((a-1))),((b^3)/(b-1)),((b^2-3)/((b-1))) , ((c^3)/(c-1)) and (((c^2-3))/((c-1))), where a , b , c are different from 1, lie on the l x+m y+n=0 , then (a) a+b+c=-m/l (b) a b+b c+c a=n/l (c) a b c=((m+n))/l (d) a b c-(b c+c a+a b)+3(a+b+c)=0

If the solution set of the inequaiton (x+4)(x-1)(x-3)(x+1)<0 is x in (a , b)uu(c , d) then (a) a+b+c+d=1 (b) a+b+c+d=2 (c) a b c d=12 (d) a b+c d=7

If a^(1/3)+\ b^(1/3)+\ c^(1/3)=0 , then+? (a) a+b+c=0 (b) (a+b+c)^3=27\ a b c (c) a+b+c=3a b c (d) a^3+b^3+c^3=0