Q64.If the arithmetic mean of two numbers a and b, a > b > 0 , is five times their geometric mean, then a+ba−b is equal to: (1) 7√3 (2) 3√2 12 4 (3) √6 (4) 5√6 2 12
What This Question Tests
This problem tests the relationship between arithmetic and geometric means of two numbers and algebraic simplification to find the required ratio.
Concepts Tested
Formulas Used
AM = (a+b)/2
GM = √(ab)
(a-b)² = (a+b)² - 4ab
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Sequences & Series
- Topic
- AM-GM inequality and related properties
- Year
- 2017
- Shift
- 08 Apr Online
- Q Number
- Q64
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences & Series
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