The number of real solutions of $2\,\,\sin \left( {{e^x}} \right) = {5^x} + {5^{ - x}}$ in $\left[ {{\rm{0, 1}}} \right]{\rm{ }}\,{\rm{is /}}\,{\rm{are}}$

JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy

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Analyzing +4 | -1

The number of real solutions of

2\,\,\sin \left( {{e^x}} \right) = {5^x} + {5^{ - x}}

\left[ {\mathrm{0, 1}} \right]\mathrm{ }\,\mathrm{is /}\,\mathrm{are}

View answer and explanation

Correct option: A

\mathrm{0}

Option A (0) is correct because the equation

2\sin(e^x) = 5^x + 5^{-x}

has no real solutions due to the range of the functions involved.

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