Q64.Let x, y, z be positive real numbers such that x + y + z = 12 and x3y4z5 = (0 .1)(600)3. Then x3 + y3 + z3 is equal to (1) 342 (2) 216 (3) 258 (4) 270 is equal to:
What This Question Tests
The problem requires recognizing the applicability of AM-GM inequality by appropriately splitting terms to match the exponents in the given product, and using the equality condition to find the values of x, y, and z.
Concepts Tested
Formulas Used
(a1 + ... + an)/n >= (a1 * ... * an)^(1/n)
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Sequences & Series
- Topic
- AM-GM inequality
- Year
- 2016
- Shift
- 09 Apr Online
- Q Number
- Q64
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences and Series
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