Q55 / 150 · MHT CET 2020 (12 Oct Shift 1) · Mathematics

$\quad$ The maximum value of the function $y=e^{5+\sqrt{3} \sin x+\cos x}$ is

  • Correct answer
    A
    $e^{7}$
  • B
    $e^{2}$
  • C
    $e^{5}$
  • D
    $e^{8}$

Solution

Maximum value of $\sqrt{3} \sin x+\cos x$ is $\sqrt{(\sqrt{3})^{2}+(1)^{2}}=2$ Hence maximum value of given function is $\mathrm{e}^{5+2}=\mathrm{e}^{7}$

Hence, the correct answer is option: 'A'.

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