Ilf `b_1, b_2=2(c_1+c_2,)` then at least one of the equation `x^2+b_1x+c_1=0a n dx^2+b_2x+c_2=0` has a. imaginary roots b. real roots c. purely imaginary roots d. none of these

If b_1b_2=2(c_1+c_2) , then at least one the of the equations x^(2) +b_1x+c_1=0 and x^(2)+b_2x+c_2=0 has :

If a,b,c,d in R, then the equation (x^(2)+ax-3b)(x^(2)-cx+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=0, then the equation 3ax^(2)+2bx+c=0 has (i) imaginary roots (ii) real and equal roots (ii) real and unequal roots (iv) rational roots

The roots of the equation (b-c)x^(2)+(c-a)x+(a-b)=0

If a and b are complex and one of the roots of the equation x^(2) + ax + b =0 is purely real whereas the other is purely imaginary, then

The quadratic equation p(x)=0 with real coefficients has purely imaginary roots.Then the equation p(p(x))=0 has A.only purely imaginary roots B.all real roots C.two real and purely imaginary roots D.neither real nor purely imaginary roots

if ax^(2)+bx+c=0 has imaginary roots and a+c

If a,b are the roots of the equation x^(2)+x+1=0, thn a^(2)+b^(2)= a.1b.2c-1d.3