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Let H :(x^2)/(a^2)-(y^2)/(b^2)=1 , where...

Let `H :(x^2)/(a^2)-(y^2)/(b^2)=1` , where `a gtb gt0` , be a hyperbola in the `x y` -plane whose conjugate axis `L M` subtends an angle of `60o` at one of its vertices `N` . Let the area of the triangle `L M N` be `4sqrt(3)` . LIST-I LIST-II P. The length of the conjugate axis of `H` is 1. `8` Q. The eccentricity of `H` is 2. `(sqrt(4))/3` R. The distance between the foci of `H` is 3. `2/(sqrt(3))` S. The length of the latus rectum of `H` is 4. `4` The correct option is `Prarr4;\ \ Qrarr2;\ \ Rrarr1;\ \ Srarr3` (b) `Prarr4;\ \ Qrarr3;\ \ Rrarr1;\ \ Srarr2` (c) `Prarr4;\ \ Qrarr1;\ \ Rrarr3;\ \ Srarr2` (d) `Prarr3;\ \ Qrarr4;\ \ Rrarr2;\ \ Srarr1`

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Let H :(x^2)/(a^2)-(y^2)/(b^2)=1 , where a > b >0 , be a hyperbola in the x y -plane whose conjugate axis L M subtends an angle of 60o at one of its vertices N . Let the area of the triangle L M N be 4sqrt(3) . LIST-I LIST-II P. The length of the conjugate axis of H is 1. 8 Q. The eccentricity of H is 2. (sqrt(4))/3 R. The distance between the foci of H is 3. 2/(sqrt(3)) S. The length of the latus rectum of H is 4. 4 The correct option is P->4;\ \ Q->2;\ \ R->1;\ \ S->3 (b) P->4;\ \ Q->3;\ \ R->1;\ \ S->2 (c) P->4;\ \ Q->1;\ \ R->3;\ \ S->2 (d) P->3;\ \ Q->4;\ \ R->2;\ \ S->1

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