Suppose a, b denote the distinct real roots of the quadratic polynomial x2 + 20x andndash; 2020 and suppose c,d denote the distinct complex roots of the quadratic polynomial x2 andndash; 20x + 2020. Then the value ofac(a andndash; c) + ad(a andndash; d) + bc(b andndash; c) + bd(b andndash; d)isa)0b)8000c)8080d)16000Correct answer is option 'D'. Can you explain this answer?

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Suppose a, b denote the distinct real roots of the quadratic polynomial x² + 20x – 2020 and suppose c,d denote the distinct complex roots of the quadratic polynomial x² – 20x + 2020. Then the value of ac(a – c) + ad(a – d) + bc(b – c) + bd(b – d) is

a)
0
b)
8000
c)
8080
d)
16000

Correct answer is option 'D'. Can you explain this answer?

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Suppose a, b denote the distinct real roots of the quadratic polynomia...

x²+ 20x – 2020 = 0 has two roots a, b ∈ R
x² – 20x + 2020 = 0 has two roots c, d ∈ complex
ac (a – c) + ad (a – d) + bc (b – c) + bd (b – d)
= a²c – ac² + a²d – ad² + b²c – bc² + b²d – bd²
= a² (c + d) + b² (c + d) – c² (a + b) – d² (a + b)
= (c + d) (a² + b²) – (a + b) (c² + d²)
= (c + d) ((a + b)² – 2ab) – (a + b) ((c + d)²– 2cd)
= 20 [(20)²+ 4040] + 20 [(20)² – 4040]
= 20 [(20)² + 4040 + (20)² – 4040]
= 20 × 800 = 16000

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Suppose a, b denote the distinct real roots of the quadratic polynomial x2 + 20x – 2020 and suppose c,d denote the distinct complex roots of the quadratic polynomial x2 – 20x + 2020. Then the value ofac(a – c) + ad(a – d) + bc(b – c) + bd(b – d)isa)0b)8000c)8080d)16000Correct answer is option 'D'. Can you explain this answer?

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Suppose a, b denote the distinct real roots of the quadratic polynomial x2 + 20x – 2020 and suppose c,d denote the distinct complex roots of the quadratic polynomial x2 – 20x + 2020. Then the value ofac(a – c) + ad(a – d) + bc(b – c) + bd(b – d)isa)0b)8000c)8080d)16000Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Suppose a, b denote the distinct real roots of the quadratic polynomial x2 + 20x – 2020 and suppose c,d denote the distinct complex roots of the quadratic polynomial x2 – 20x + 2020. Then the value ofac(a – c) + ad(a – d) + bc(b – c) + bd(b – d)isa)0b)8000c)8080d)16000Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Suppose a, b denote the distinct real roots of the quadratic polynomial x2 + 20x – 2020 and suppose c,d denote the distinct complex roots of the quadratic polynomial x2 – 20x + 2020. Then the value ofac(a – c) + ad(a – d) + bc(b – c) + bd(b – d)isa)0b)8000c)8080d)16000Correct answer is option 'D'. Can you explain this answer?.

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