Q61.The number of pairs ๐, ๐ of real numbers, such that whenever ๐ผ is a root of the equation ๐ฅ2 + ๐๐ฅ+ ๐= 0, ๐ผ2 - 2 is also a root of this equation, is : (1) 6 (2) 8 (3) 4 (4) 2
What This Question Tests
This question involves complex reasoning about the properties of roots of a quadratic equation, requiring careful analysis of cases where roots are related by a specific transformation and solving for possible values of coefficients (a, b).
Concepts Tested
Formulas Used
If ฮฑ, ฮฒ are roots of xยฒ + ax + b = 0, then ฮฑ+ฮฒ = -a, ฮฑฮฒ = b
๐ NCERT Sections This Tests
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Physics Class 11 ยท Chapter 2
2.5 A parallel plate capacitor with air between the plates has a capacitance of 8 pF (1pF = 10โ12 F). What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant 6?
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๐ Question Details
- Chapter
- Quadratic Equations
- Topic
- Roots of a quadratic equation
- Year
- 2021
- Shift
- 01 Sep Shift 2
- Q Number
- Q61
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Quadratic Equations
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