General — Hard JEE math MCQ
Suppose $a, b$ denote the distinct real roots of the quadratic polynomial $x^{2}+20 x-2020$ and suppose $c, d$ denote the distinct complex roots of the quadratic polynomial $x^{2}-20 x+2020$. Then the value of
\[
a c(a-c)+a d(a-d)+b c(b-c)+b d(b-d)
\]
is
- A. 0
- B. 8000
- C. 8080
- D. 16000
Solution
The correct option is **D**.
