List of top Quantitative Aptitude Questions on Quadratic Equations

If a,b,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 α,β are the roots of x²-2x-1=0, then the value of α²β²-α²-β² is
If a,b are non-zero roots of x²+ax+b=0, then the least value of x²+ax+b is
If α,β are the roots of the equation x²-2x-1=0, then the value of α²β²+α-α²β² is
If a,b,c are real numbers then the roots of (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are always