Q81.If πΌ, π½ are roots of the equation π₯2 + 5β2π₯+ 10 = 0, πΌ> π½ and ππ= πΌπ- π½π for each positive integer π, then the value of π17π20 + 5β2π17π192 is equal to π18π19 + 5β2π18
What This Question Tests
This question tests the ability to derive and apply a recurrence relation for Pn = Ξ±βΏ - Ξ²βΏ based on the given quadratic equation and then simplify the given expression.
Concepts Tested
Formulas Used
If Ξ±, Ξ² are roots of axΒ²+bx+c=0, then Pn = Ξ±βΏ - Ξ²βΏ satisfies aPn + bPn-1 + cPn-2 = 0
π NCERT Sections This Tests
3.17 β During Nuclear Explosion, One Of The Products Is 90Sr With Half-Life Of
Chemistry Class 11 Β· Chapter 3
3.17 During nuclear explosion, one of the products is 90Sr with half-life of 28.1 years. If 1mg of 90Sr was absorbed in the bones of a newly born baby instead of calcium, how much of it will remain after 10 years and 60 years if it is not lost metabolically.
8.17 β Complete Each Synthesis By Giving Missing Starting Material, Reagent Or Products
Chemistry Class 12 Β· Chapter 8
8.17 Complete each synthesis by giving missing starting material, reagent or products
2.2 β A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 Β· Chapter 2
2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
π Question Details
- Chapter
- Quadratic Equations
- Topic
- Roots of quadratic equation
- Year
- 2021
- Shift
- 25 Jul Shift 1
- Q Number
- Q81
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 5: Quadratic Equations
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