The amplitude of a wave represented by displacement equation $y = \frac{1}{{\sqrt a }}\,\sin \,\omega t \pm \frac{1}{{\sqrt b }}\,\cos \,\omega t$ will be

  • A

    $\frac{{a + b}}{{ab}}$

  • B

    $\frac{{\sqrt a  + \sqrt b }}{{ab}}$

  • C

    $\frac{{\sqrt a  \pm \sqrt b }}{{ab}}$

  • D

    $\sqrt {\frac{{a + b}}{{ab}}} $

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