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Ellipse question

2019 · 10 Jan · Shift 2 · Q33
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  5. /2019 · 10 Jan · Shift 2 · Q33

Ellipse question

2019 · 10 Jan · Shift 2 · Q33

JEE MainMathematicsEllipseMCQ+4 / −1
Let S = {(x,y)∈R2:y21+r−x21−r};re±1.\left\{ {\left( {x,y} \right) \in {R^2}:{{{y^2}} \over {1 + r}} - {{{x^2}} \over {1 - r}}} \right\};r e \pm 1.{(x,y)∈R2:1+ry2​−1−rx2​};re±1. Then S represents :
  1. A
    an ellipse whose eccentricity is 1r+1,{1 \over {\sqrt {r + 1} }},r+1​1​, where r > 1
  2. B
    an ellipse whose eccentricity is 2r+1,{2 \over {\sqrt {r + 1} }},r+1​2​, where 0 < r < 1
  3. C
    an ellipse whose eccentricity is 2r−1,{2 \over {\sqrt {r - 1} }},r−1​2​, where 0 < r < 1
  4. D
    an ellipse whose eccentricity is 2r+1\sqrt {{2 \over {r + 1}}}r+12​​, where r > 1
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