JEE Advanced 2018 Paper 2 Mathematics Q17

Mathematics

Problem

Let H : x²/a² − y²/b² = 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-I: P. The length of the conjugate axis of H is; Q. The eccentricity of H is; R. The distance between the foci of H is; S. The length of the latus rectum of H is. LIST-II: 1. 8; 2. 4/√3; 3. 2/√3; 4. 4. The correct option is:

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