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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 > 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`

A

(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)

Text Solution

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The correct Answer is:
B
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