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If a tangent of slope m' at a point of t...

If a tangent of slope m' at a point of the ellipse passes through (2a, 0) and if `e` denotes the eccentricity of the ellipse then (A) `m^2 + e^2 = 1` (C) `3m^2 + e^2-1` (B) `2m^2 + e^2=1` (D) none of these

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Equation of tangent,
`y=mx pmsqrt((a^2)(m^2) +b^2)` It passes through (2a,0) So, `0=2am pmsqrt((a^2)(m^2)+b^2)` `4(a^2)(m^2)= (a^2)(m^2) + (a)^2(1-e^2)` Hence, `e^2+3m^2=1` `
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