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Hyperbola question

2012 · Shift 1 · Q28

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PYQ Library
JEE Advanced
Mathematics
Hyperbola
2012 · Shift 1 · Q28

Hyperbola question

2012 · Shift 1 · Q28

JEE AdvancedMathematicsHyperbolaMultiple correct+4 / −1

Tangents are drawn to the hyperbola

{{{x^2}} \over 9} - {{{y^2}} \over 4} = 1,

parallel to the straight line

2x - y = 1,

The points of contact of the tangents on the hyperbola are

A
$\left( {{9 \over {2\sqrt 2 }},{1 \over {\sqrt 2 }}} \right)$
B
$\left( -{{9 \over {2\sqrt 2 }},-{1 \over {\sqrt 2 }}} \right)$
C
$\left( {3\sqrt 3 , - 2\sqrt 2 } \right)$
D
$\left( -{3\sqrt 3 , 2\sqrt 2 } \right)$

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