If three distinct real number a,b and c satisfy `a^2(a+p)=b^2(b+p)=c^2(c+p)`, where `pepsilonR`, then value of `bc+ca+ab` is :

If three distinct real number a,b and c satisfy a^(2)(a+p)=b^(2)(b+p)=c^(2)(c+p), where p varepsilon R, then value of bc+ca+ab is :

If a,b,c are distinct real numbers such that a, b,c are in A.P.and a^(2),b^(2),c^(2) are in H.P, then

If distinct positive number a , b, c, are in G.P. and (1)/(a-b), (1)/(c-a),(1)/(b-c) are in A.P. , then value of a + ab + c is equal to

If a,b, and c are distinct positive real numbers and a^(2)+b^(2)+c^(2)=1, then ab+bc+ca is

If three unequal positive real numbers a,b,c are in G.P.and b-c,c-a,a-b are in H.P.then the value of a+b+c depends on

If a, b and c be three distinct real number in G.P. and a + b + c = xb , then x cannot be

If a,b,c are three distinct numbers in G.P., b,c,a are in A.P and a,bc, abc, in H.P then the possible value of b is

If three distinct positive numbers a, b, c are in H.P.,then the equation ax^(2)+2bx+c=0 has:-

If a, b and c are distinct positive real numbers and a^2 + b^2 + c^2 = 1, then ab + bc + ca is