If a and b are two distinct non-zero real numbers such that `a -b =a/b=1/b-1/a,` then :

a,b and c are distinct real numbers such that a:(b+c)=b:(c+a)

If a,b, and c are distinct positive real numbers such that a+b+c=1, then prove tha ((1+a)(1+b)(1+c))/((1-a)(1-b)(1-c))>8

If a,b,c are distinct positive real numbers, then

If a,b,c are distinct real numbers such that a+(1)/(b)=b+(1)/(c )=c+(1)/(a) , then evaluate abc.

Let a,b, and c be distinct nonzero real numbers such that (1-a^(3))/(a)=(1-b^(3))/(b)=(1-c^(3))/(c). The value of (a^(3)+b^(3)+c^(3)) is

If a and b are two distinct real roots of the polynomial f(x) such that a

If a, b, c are distinct positive real numbers such that a+(1)/(b)=4,b+(1)/( c )=1,c+(1)/(d)=4 and d+(1)/(a)=1 , then

If a and b are two non-zero and non-collinear vectors then a+b and a-b are

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