if `a^(1/3)+b^(1/3)+c^(1/3)=0` then

If a^(1/3)+b^(1/3)+c^(1/3)=0 show that (a+b+c)^(3)=27 abc

If a+b+c=1,a^(2)+b^(2)+c^(2)=9 and a^(3)+b^(3)+c^(3)=1, then (1)/(a)+(1)/(b)+(1)/(c) is (i)0 (ii) -1(iii)1(iv)3

If a,b,c are different and |(a,a^(2),a^(3)-1),(b,b^(2),b^(3)-1),(c,c^(2),c^(3)-1)|=0 then

Suppose a,b,c, gt0 and |(a^(3)-1,a^(2),a),(b^(3)-1,b^(2),b),(c^(3)-1,c^(2),c)|=0 then least possible value of a+b+c is ____________

If (3a+1)^(2) +(b-1)^(2) +(2c-3)^(2)=0 , then value of (3a+b+2c) is

In A B C , if the orthocentre is (1,2) and the circumcenter is (0, 0), then centroid of A B C) is (1/2,2/3) (b) (1/3,2/3) (2/3,1) (d) none of these

The straight lines 4a x+3b y+c=0 passes through? , where a+b+c =0 (a) (4,3) (b) (1/4,1/3) (1/2,1/3) (d) none of these