If `a,b,c,d in R` and all the three roots of `az^3 + bz^2 + cZ + d=0` have negative real parts, then

For a complex number Z, if all the roots of the equation Z^3 + aZ^2 + bZ + c = 0 are unimodular, then

Let a >0,b >0 and c >0 . Then, both the roots of the equation a x^2+b x+c=0 are a. real and negative b.have negative real parts c. have positive real parts d. None of the above

For a complex number Z, if all the roots of the equation Z^3 + aZ^2 + bZ + c = 0 are unit modulus, then

Let a >0,b >0 and c >0 . Then, both the roots of the equation a x^2+b x+c=0 : a. are real and negative b. have negative real parts c. have positive real parts d. None of the above

Let a >0,b >0 and c >0 . Then, both the roots of the equation a x^2+b x+c=0 : a. are real and negative b. have negative real parts c. have positive real parts d. None of the above

If a ,b ,c ,d in R , then the equation (x^2+a x-3b)(x^2-c x+b)(x^2-dx+2b)=0 has a) 6 real roots b) at least 2 real roots c) 4 real roots d) none of these

If a ,b ,c ,d in R , then the equation (x^2+a x-3b)(x^2-c x+b)(x^2-dx+2b)=0 has a. 6 real roots b. at least 2 real roots c. 4 real roots d. none of these

If a ,b ,c ,d in R , then the equation (x^2+a x-3b)(x^2-c x+b)(x^2-dx+2b)=0 has a. 6 real roots b. at least 2 real roots c. 4 real roots d. none of these

If a, b are the real roots of x^(2) + px + 1 = 0 and c, d are the real roots of x^(2) + qx + 1 = 0 , then (a-c)(b-c)(a+d)(b+d) is divisible by

If a, b are the real roots of x^(2) + px + 1 = 0 and c, d are the real roots of x^(2) + qx + 1 = 0 , then (a-c)(b-c)(a+d)(b+d) is divisible by