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

The line `2x+y=1` is tangent to the hyperbla `(x^(2))/(a^(2))-(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

A

`(3)/(2)`

B

2

C

`(5)/(2)`

D

3

Text Solution

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The correct Answer is:
B
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