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Hyperbola question

2019 · 9 Jan · Shift 1 · Q29
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  5. /2019 · 9 Jan · Shift 1 · Q29

Hyperbola question

2019 · 9 Jan · Shift 1 · Q29

JEE MainMathematicsHyperbolaMCQ+4 / −1
Let 0<θ<π20 \lt \theta \lt {\pi \over 2}0<θ<2π​. If the eccentricity of the hyperbola x2cos⁡2θ−y2sin⁡2θ{{{x^2}} \over {{{\cos }^2}\theta }} - {{{y^2}} \over {{{\sin }^2}\theta }}cos2θx2​−sin2θy2​ = 1 is greater than 2, then the length of its latus rectum lies in the interval :
  1. A
    (3, ∞\infty∞)
  2. B
    (32,2]\left( {{3 \over 2},2} \right](23​,2]
  3. C
    (1,32]\left( {1,{3 \over 2}} \right](1,23​]
  4. D
    (2,3]\left( {2,3} \right](2,3]
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