If $a>0$ discriminant of $a x^2+2 b x+c$ is -ve, then $\left|\begin{array}{ccc}a & b & a x+b \\ b & c & b x+c \\ a x+b & b x+c & 0\end{array}\right|$ is

• A

  +ve
• B

  $\left(a c-b^2\right)\left(a x^2+2 b x+c\right)$
• Correct answer
  C

  -ve
• D

  0

Hence, the correct answer is option: 'C'.