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Hyperbola question

2020 · 2 Sep · Shift 2 · Q39
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  5. /2020 · 2 Sep · Shift 2 · Q39

Hyperbola question

2020 · 2 Sep · Shift 2 · Q39

JEE MainMathematicsHyperbolaMCQ+4 / −1
For some θ∈(0,π2)\theta \in \left( {0,{\pi \over 2}} \right)θ∈(0,2π​), if the eccentricity of the hyperbola, x2–y2sec2 θ\thetaθ= 10 is 5\sqrt 55​ times the eccentricity of the ellipse, x2sec2 θ\thetaθ + y2 = 5, then the length of the latus rectum of the ellipse, is :
  1. A
    30\sqrt {30}30​
  2. B
    262\sqrt 626​
  3. C
    453{{4\sqrt 5 } \over 3}345​​
  4. D
    253{{2\sqrt 5 } \over 3}325​​
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