If a,b,c,d are unequal positive numbes, then the roots of equation `x/(x-a)+x/(x-b)+x/(x-c)+x+d=0` are necessarily (A) all real (B) all imaginary (C) two real and two imaginary roots (D) at least two real

If a,b and c are real numbers then the roots of the equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are always

If a,b,c are distinct positive numbers,then the nature of roots of the equation 1/(x-a)+1/(x-b)+1/(x-c)=1/x is a.all real real and is distinct b.all real and at leat two are distinct c.at least two real d.all non-real

If a,b,c are positive real numbers.then the number of real roots of the equation ax^(2)+b|x|+c=0 is

If a,b,c are positive real numbers,then the number of real roots of the equation ax^(2)+b|x|+c is

If a,b,c,d are rational and are in G.P. then the rooots of equation (a-c)^2 x^2+(b-c)^2x+(b-x)^2-(a-d)^2= are necessarily (A) imaginary (B) irrational (C) rational (D) real and equal