Question

Define rectangular hyperbola and find its eccentricity​

Answer 1

Answer:

The given equation of the conic x2 - y2 = 9. ⇒ x2 - y2 = 32, which is the equation of the rectangular hyperbola. A hyperbola whose transverse axis is equal to its conjugate axis is called a rectangular or equilateral hyperbola. The eccentricity of a rectangular hyperbola is √2.

Answer 2

Answer:

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The given equation of the conic x2 - y2 = 9. ⇒ x2 - y2 = 32, which is the equation of the rectangular hyperbola. A hyperbola whose transverse axis is equal to its conjugate axis is called a rectangular or equilateral hyperbola. The eccentricity of a rectangular hyperbola is √2.