If f(x) = ax2 + bx + c has no real zeros and a + b + c = 0,
Question:

If $l(x)=a x^{2}+b x+c$ has no real zeros and $a+b+c=0$, then

(a) $c=0$

(b) $c>0$

(c) $c<0$

(d) None of these

Solution:

If $f(x)=a x^{2}+b x+c$ has no real zeros and $a+b+c<0$ then $c<0$

Hence, the correct choice is $(c)$