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 , a n dc are distinct positive real numbers such that a+b+c=1, then prove that (1-a)(1-b)(1-c)> 8.

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

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

If a and b are two distinct real roots of the polynomial f(x) such that a < b , then there exists a real number c lying between a and b , such that

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, 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