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Hyperbola question

2016 · 10 Apr · Shift 1 · Q34

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JEE Main
Mathematics
Hyperbola
2016 · 10 Apr · Shift 1 · Q34

Hyperbola question

2016 · 10 Apr · Shift 1 · Q34

JEE MainMathematicsHyperbolaMCQ+4 / −1

A hyperbola whose transverse axis is along the major axis of the conic,

{{{x^2}} \over 3} + {{{y^2}} \over 4} = 4

and has vertices at the foci of this conic. If the eccentricity of the hyperbola is

{3 \over 2},

then which of the following points does NOT lie on it?

A
(0, 2)
B
$\left( {\sqrt 5 ,2\sqrt 2 } \right)$
C
$\left( {\sqrt {10} ,2\sqrt 3 } \right)$
D
$\left( {5,2\sqrt 3 } \right)$

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