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The line 2x + y =1 is a tangent to the h...

The line 2x + y =1 is a tangent to the hyperbola `(x^2)/(a^2) - (y^2)/(b^2) = 1 (a gt b)` . If this line passes through the point of intersection of a directrix and the positive X-axis, then the eccentricity of that hyperbola is

A

A. `sqrt2`

B

B. `2`

C

C. `sqrt3`

D

D. `3`

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B
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