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What is the eccentricity of rectangular hyperbola?

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What is the eccentricity of rectangular hyperbola?
1. √2
2. √3
3. √5
4. √6
5. None of these
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Correct Answer - Option 1 : √2

Concept:

  • If in a hyperbola the length of the transverse axis 2a is equal to the length of the conjugate axis 2b, the hyperbola is called a rectangular hyperbola.
  • x2 − y2 = a2 is the general form of rectangular hyperbola. If the asymptotes are x and y axis, then the equation is xy = c2
  • The rectangular hyperbola is the hyperbola for which the axes (or asymptotes) are perpendicular, or with eccentricity √2
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