Q63.If f(x + y) = f(x) f(y) and x=1f(x) of f(4) is f(2) (1) 2 (2) 1 3 9 (3) 1 (4) 4 3 9
What This Question Tests
This problem combines a functional equation to determine the form of f(x) and then uses the sum of an infinite geometric series to find the specific function.
Concepts Tested
Formulas Used
f(x) = a^x for f(x+y)=f(x)f(y)
Sum of infinite GP = a / (1-r)
📚 NCERT Sections This Tests
1.3 — Define The Following Terms:
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1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
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Chemistry Class 11 · Chapter 5
5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?
12.5 — A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 · Chapter 12
12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
📋 Question Details
- Chapter
- Sequences & Series
- Topic
- Geometric Progression
- Year
- 2020
- Shift
- 06 Sep Shift 1
- Q Number
- Q63
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences and Series
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