jee-main 2016 Q73

jee-main · India · 10apr Conic sections Equation Determination from Geometric Conditions

A hyperbola whose transverse axis is along the major axis of the conic $\frac { x ^ { 2 } } { 3 } + \frac { y ^ { 2 } } { 4 } = 4$ and has vertices at the foci of the conic. If the eccentricity of the hyperbola is $\frac { 3 } { 2 }$, then which of the following points does not lie on the hyperbola?
(1) $( \sqrt { 5 } , 2 \sqrt { 2 } )$
(2) $( 0,2 )$
(3) $( 5,2 \sqrt { 3 } )$
(4) $( \sqrt { 10 } , 2 \sqrt { 3 } )$

A hyperbola whose transverse axis is along the major axis of the conic $\frac { x ^ { 2 } } { 3 } + \frac { y ^ { 2 } } { 4 } = 4$ and has vertices at the foci of the conic. If the eccentricity of the hyperbola is $\frac { 3 } { 2 }$, then which of the following points does not lie on the hyperbola?\\
(1) $( \sqrt { 5 } , 2 \sqrt { 2 } )$\\
(2) $( 0,2 )$\\
(3) $( 5,2 \sqrt { 3 } )$\\
(4) $( \sqrt { 10 } , 2 \sqrt { 3 } )$

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