What is the equation of rectangular hyperbola?

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Sujoy Das

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x2 - y2 = a2 equation of rectangular hyperbola.
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Tutor

xy = c2, If any equation is given in any other format then you can shift and rotate the axes and bring in to this form.
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Mathametics & Science Tutor for 1 to 12th standard

This is a equation of rectangular hyperbola x2/a2 -- y2/b2 = 1.
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Mathametics & Science Tutor for 1 to 12th standard

x2/a2 -- y2/b2 = 1
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(x^2)(y^2)=(a^2)
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Mathematics expert graduated from IIT Madras

x^2 - y^2 = a^2
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Math, Sciences and Electrical Engineering

xy = c, where c can be any real number is the general equation of rectangular hyperbola.
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x2 -- y2 = a2.
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When the transverse axis of a hyperbola is equal to its conjugate axis then the hyperbola is called a rectangular or equilateral hyperbola. The standard equation of the hyperbola is (x^2/a^2) - ( y^2/b^2) = 1 ………… (i) The transverse axis of the hyperbola (i) is along x-axis and its length = 2a. The conjugate...
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When the transverse axis of a hyperbola is equal to its conjugate axis then the hyperbola is called a rectangular or equilateral hyperbola. The standard equation of the hyperbola is (x^2/a^2) - ( y^2/b^2) = 1 ………… (i) The transverse axis of the hyperbola (i) is along x-axis and its length = 2a. The conjugate axis of the hyperbola (i) is along y-axis and its length = 2 b. According to the definition of rectangular hyperbola we get, a = b On substituting a = b in the standard equation of the hyperbola (i) we get, (x^2/a^2) - ( y^2/b^2) = 1 x^2 - y^2 = a^2, which is the equation of the rectangular hyperbola. read less
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x2 - y2 = a2 equation of rectangular hyperbola.
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