1.

The eccentricity of the hyperbola whose length of the latus rectum isequal to 8 and the length of its conjugate axis is equal to half of thedistance between its foci, is :A. `4/3`B. `4/sqrt3`C. `2/sqrt3`D. none of these

Answer» Correct Answer - C
Given that, `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1 altb`
We know that, `e=sqrt(1-(a^(2))/(b^(2)))rArre^(2)=((b^(2)-a^(2)))/(b^(2))`
`rArr b^(2)e^(2)=b^(2)=a^(2)`
`rArra^(2)=b^(2)(1-e^(2))`


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