Q64. If three positive numbers a , b and c are in A.P. such that abc = 8, then the minimum possible value of b is: (1) 4 23 (2) 2 (3) 4 31 (4) 4
What This Question Tests
This question requires applying the properties of Arithmetic Progression and the AM-GM inequality to find the minimum value of a term given a product constraint.
Concepts Tested
Formulas Used
2b = a + c
AM ≥ GM
📚 NCERT Sections This Tests
2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
Physics Class 11 · Chapter 2
2.1 Two charges 5 × 10–8 C and –3 × 10–8 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.
12.7 — The Radius Of The Innermost Electron Orbit Of A Hydrogen Atom Is
Physics Class 12 · Chapter 12
12.7 The radius of the innermost electron orbit of a hydrogen atom is 5.3×10–11 m. What are the radii of the n = 2 and n =3 orbits?
8.17 — Complete Each Synthesis By Giving Missing Starting Material, Reagent Or Products
Chemistry Class 12 · Chapter 8
8.17 Complete each synthesis by giving missing starting material, reagent or products
📋 Question Details
- Chapter
- Sequences & Series
- Topic
- Arithmetic Progression (AP), AM-GM Inequality
- Year
- 2017
- Shift
- 09 Apr Online
- Q Number
- Q64
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences and Series
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