The line $y = mx + c$ is a normal to the ellipse $\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{a^2}}} = 1$, if $c = $

  • A

    $ - (2am + b{m^2})$

  • B

    $\frac{{({a^2} + {b^2})m}}{{\sqrt {{a^2} + {b^2}{m^2}} }}$

  • C

    $ - \frac{{({a^2} - {b^2})m}}{{\sqrt {{a^2} + {b^2}{m^2}} }}$

  • D

    $\frac{{({a^2} - {b^2})m}}{{\sqrt {{a^2} + {b^2}} }}$

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