If ( ) x x 3 4 f x 1 5 5 æö æö =+- ç÷ ç÷ èø èø , x R Î , then the equation f(x) = 0 has :

Question:

If $\mathrm{f}(\mathrm{x})=\left(\frac{3}{5}\right)^{\mathrm{x}}+\left(\frac{4}{5}\right)^{\mathrm{x}}-1, \mathrm{x} \in \mathrm{R}$, then the equation $f(x)=0$ has:

  1. no solution

  2. one solution

  3. two solutions

  4. more than two solutions

Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Trigonometric Equations and Inequations chapter.
JEE Main Previous Year Online April 9, 2014

Solution:

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