Q81.If ๐ and ๐ are the roots of the equation ๐ฅ2 - 7๐ฅ- 1 = 0, then the value of ๐21 + ๐21 ๐19 + ๐19
What This Question Tests
This question involves using the properties of roots of a quadratic equation and deriving a recurrence relation for powers of the roots to simplify the given expression.
Concepts Tested
Formulas Used
axยฒ + bx + c = 0
a + b = -b/a
ab = c/a
๐ NCERT Sections This Tests
2.1 โ Two Charges 5 ร 10โ8 C And โ3 ร 10โ8 C Are Located 16 Cm Apart. At
Physics Class 11 ยท Chapter 2
2.1 Two charges 5 ร 10โ8 C and โ3 ร 10โ8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
3.23 โ The Rate Constant For The Decomposition Of Hydrocarbons Is 2.418 ร 10โ5Sโ1
Chemistry Class 11 ยท Chapter 3
3.23 The rate constant for the decomposition of hydrocarbons is 2.418 ร 10โ5sโ1 at 546 K. If the energy of activation is 179.9 kJ/mol, what will be the value of pre-exponential factor.
13.2 โ Obtain The Binding Energy Of The Nuclei 5626Fe And 20983 Bi In Units Of
Physics Class 12 ยท Chapter 13
13.2 Obtain the binding energy of the nuclei 5626Fe and 20983 Bi in units of MeV from the following data: m ( 5626Fe ) = 55.934939 u m ( 20983 Bi ) = 208.980388 u
๐ Question Details
- Chapter
- Quadratic Equations
- Topic
- Roots of a quadratic equation, recurrence relations
- Year
- 2023
- Shift
- 11 Apr Shift 1
- Q Number
- Q81
- Type
- Numerical
- NCERT Ref
- Class 10 Mathematics Ch 4: Quadratic Equations; Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations (advanced topics)
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