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If a tangent of slope ' \( m \) ' at a point of the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \) passes through \( (2 a, 0) \) and if ' \( e \) ' denotes the eccentricity of the ellipse then
(A) \( m^{2}+e^{2}=1 \)
(B) \( 2 m^{2}+e^{2}=1 \)
\( \mathrm{P} \)
(C) \( 3 m^{2}+e^{2}=1 \)
(D) none of these
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