Q81.Let ๐, ๐ be two non-zero real numbers. If ๐ and ๐ are the roots of the equation ๐ฅ2 - 8๐๐ฅ+ 2๐= 0 and ๐ and ๐ 1 1 1 1 are the roots of the equation ๐ฅ2 + 12๐๐ฅ+ 6๐= 0, such that ๐, ๐, ๐, ๐ are in A.P., then ๐-1 - ๐-1 is equal to _____ .
What This Question Tests
This question involves using the relations between roots and coefficients of quadratic equations and the properties of an Arithmetic Progression to find the required algebraic expression.
Concepts Tested
Formulas Used
Sum of roots = -b/a
Product of roots = c/a
Common difference in AP (q-p = r-q = s-r)
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.
2.5 โ A Parallel Plate Capacitor With Air Between The Plates Has A
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?
9.8 โ A Beam Of Light Converges At A Point P. Now A Lens Is Placed In The
Physics Class 12 ยท Chapter 9
9.8 A beam of light converges at a point P. Now a lens is placed in the path of the convergent beam 12cm from P. At what point does the beam converge if the lens is (a) a convex lens of focal length 20cm, and (b) a concave lens of focal length 16cm?
๐ Question Details
- Chapter
- Sequences & Series
- Topic
- Arithmetic Progression (AP)
- Year
- 2022
- Shift
- 25 Jul Shift 1
- Q Number
- Q81
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations; Class 11 Mathematics Ch 9: Sequences and Series
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