The least value of \displaystyle e^{\displaystyle sin^{-1}x}+e^{\d | Filo
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Class 11

Math

Algebra

Sequences and Series

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The least value of is

Correct Answer: Option(d)
Solution: For positive numbers we have, 

\dfrac{e^{\displaystyle sin^{-1}x}+e^{\displaystyle cos^{-1}x}}{2}\geq \sqrt{e^\left ({\displaystyle sin^{-1}x+cos^{-1}x}\right ) }
          
Hence, option 'D' is correct.
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