Let H:x2a2−y2b2=1,where a>b>0,be a hyperbola in the xy−plane whose conjugate axis LM subtends an angle of 60∘ at one of its vertices N. Let the area of the triangle LMN be 4√3.LIST−ILIST−IIP.The length of the conjugate axis of H is1.8Q.The eccentricity of H is 2.4√3R.The distance between the foci of H is 3.2√3S.The length of the latus rectum of H is 4.4The correct option is:

Let H:x2a2−y2b2=1,where a>b>0,be a hyperbola in the xy−plane who

1.	Let H:x2a2−y2b2=1,where a>b>0,be a hyperbola in the xy−plane whose conjugate axis LM subtends an angle of 60∘ at one of its vertices N. Let the area of the triangle LMN be 4√3.LIST−ILIST−IIP.The length of the conjugate axis of H is1.8Q.The eccentricity of H is 2.4√3R.The distance between the foci of H is 3.2√3S.The length of the latus rectum of H is 4.4The correct option is:
Answer» Let $H : \frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1, where a > b > 0,$ be a hyperbola in the $x y -$ plane whose conjugate axis $L M$ subtends an angle of $60^{\circ}$ at one of its vertices $N .$ Let the area of the triangle $L M N$ be $4 \sqrt{3} .$ $\begin{matrix} L I S T - I & L I S T - I I P . & The length of the conjugate axis of H is & 1. & 8 Q . & The eccentricity of H is & 2. & \frac{4}{\sqrt{3}} R . & The distance between the foci of H is & 3. & \frac{2}{\sqrt{3}} S . & The length of the latus rectum of H is & 4. & 4 \end{matrix}$ The correct option is: