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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? |
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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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