1.

A hyperbola whose transverse axis is along the major axis of the conic,`x^2/3+y^2/4= 4` and has vertices atthe foci of this conic. If the eccentricity of the hyperbola is `3/2`, then which of the following points does NOT lie on it?

Answer» Equation of eclipse
`x^2/2+y^2/16=1`
`e=sqrt(1-12/16)`
e=1/2
Equation of hyperbola
`y^2/a^2-x^2/b^2=1`
`y^2/4-x^2/b^2=1`
to find the value of B
`e^2=1+b^2/a^2`
`a/4=1+b^2/4`
`b^2/4=5/4`
`b^2=5`
putting this value in equation of hyperbola
`y^2/4-x^2/5=1`
after checking all values give in options
`(5,2sqrt3)`does not lies.


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