If $Q= \frac{X^n}{Y^m}$ and $\Delta X$ is absolute error in the measurement of $X,$ $\Delta Y$ is absolute error in the measurement of $Y,$ then absolute error $\Delta Q$ in $Q$ is 

  • A

    $\Delta Q =  \pm \left( {n\frac{{\Delta X}}{X} + m\frac{{\Delta Y}}{Y}} \right)$

  • B

    $\Delta Q =  \pm \left( {n\frac{{\Delta X}}{X} + m\frac{{\Delta Y}}{Y}} \right)Q$

  • C

    $\Delta Q =  \pm \left( {n\frac{{\Delta X}}{X} - m\frac{{\Delta Y}}{Y}} \right)Q$

  • D

    $\Delta Q =  \pm \left( {n\frac{{\Delta X}}{X} - m\frac{{\Delta Y}}{Y}} \right)$

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