\tLet P(x) =ax^2+bx+c, Q(x) =ax^2 +cx +b and R(x) =ax^2+bcx+b^3+c^3-4abc where a,b,c belongs to R and a is not equal to zero. The equation R(x) =0 will have non real roots if (A) P(x) =0 has distinct real roots and Q(x)=0 has non-real roots. (B)P(x)=0 has non real roots and Q(x) =0 has distict real roots.(C)Both P(x) =0 and Q(x) =0 have non real roots.(D)Both P(x) =0 and Q(x) =0 have distict real roots. Which option is correct?

PRAMAY , 10 Years ago

Grade 11