Q81.If f(x) = ( 35 )x + ( 45 )x −1, (1) No solution (2) More than two solutions (3) One solution (4) Two solutions
What This Question Tests
The question tests the ability to determine the number of solutions to an equation by analyzing the monotonicity of the corresponding function using its first derivative. A strictly monotonic function can have at most one root.
Concepts Tested
Formulas Used
d/dx(a^x) = a^x ln a
📚 NCERT Sections This Tests
1.3 — Define The Following Terms:
Chemistry Class 11 · Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
1.1 — Define The Term Solution. How Many Types Of Solutions Are Formed? Write Briefly
Chemistry Class 11 · Chapter 1
1.1 Define the term solution. How many types of solutions are formed? Write briefly about each type with an example.
1.27 — If The Solubility Product Of Cus Is 6 × 10–16, Calculate The Maximum Molarity Of
Chemistry Class 11 · Chapter 1
1.27 If the solubility product of CuS is 6 × 10–16, calculate the maximum molarity of CuS in aqueous solution.
📋 Question Details
- Chapter
- Applications of Derivatives
- Topic
- Number of roots
- Year
- 2014
- Shift
- 09 Apr Online
- Q Number
- Q81
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 6: Applications of Derivatives
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