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Hyperbola question

2010 · Shift 1 · Q38

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PYQ Library
JEE Advanced
Mathematics
Hyperbola
2010 · Shift 1 · Q38

Hyperbola question

2010 · Shift 1 · Q38

JEE AdvancedMathematicsHyperbolaNumerical+4 / −1

The line

2x + y = 1

is tangent to the hyperbola

{{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{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

Numerical answer

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