Q65.Three positive numbers form an increasing G. P. If the middle term in this G. P. is doubled, the new numbers are in A. P. Then the common ratio of the G. P. is : (1) 2 −√3 (2) 2 + √3 (3) √2 + √3 (4) 3 + √2
What This Question Tests
This question tests the fundamental properties of both Geometric and Arithmetic Progressions, requiring the formulation and solution of a quadratic equation to find the common ratio.
Concepts Tested
Formulas Used
b² = ac (for G.P.)
2B = A + C (for A.P.)
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📋 Question Details
- Chapter
- Sequences & Series
- Topic
- Geometric Progression (G.P.), Arithmetic Progression (A.P.)
- Year
- 2014
- Shift
- 06 Apr
- Q Number
- Q65
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences & Series
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