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GeneralHard 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
  1. A. 0
  2. B. 8000
  3. C. 8080
  4. D. 16000

Solution

The correct option is **D**.

MATH

hardPYQ Reworded
Question
Read carefully, then pick the best option.
Suppose a,ba, b denote the distinct real roots of the quadratic polynomial x2+20x2020x^{2}+20 x-2020 and suppose c,dc, d denote the distinct complex roots of the quadratic polynomial x220x+2020x^{2}-20 x+2020. Then the value of ac(ac)+ad(ad)+bc(bc)+bd(bd) a c(a-c)+a d(a-d)+b c(b-c)+b d(b-d) is
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General — Hard JEE Mathematics MCQ | MyGoalPrep