Q19.If α + iβ and γ + iδ are the roots of x2 −(3 −2i)x −(2i −2) = 0, i = √−1, then αγ + βδ is equal to : (1) −2 (2) 6 (3) −6 (4) 2
What This Question Tests
This question tests the understanding of the relationship between roots and coefficients of a quadratic equation, particularly when the coefficients and roots are complex numbers, and then performing algebraic manipulation to find the desired expression.
Concepts Tested
Formulas Used
For ax²+bx+c=0, roots α,β: α+β = -b/a, αβ = c/a
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📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Roots of a quadratic equation, Algebraic operations with complex numbers
- Year
- 2025
- Shift
- 28 Jan Shift 2
- Q Number
- Q19
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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