The line is tangent to the hyperbola

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The line 2x+y=12x + y = 1 is tangent to the hyperbola x2a2−y2b2=1\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 . If this line passes through the point of intersection of the nearest directrix and the X-axis, then the eccentricity of the hyperbola is

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