Write the equation in terms of a rotated x'y'-system using θ, the angle of rotation. write the equation involving x' and y' in standard form. xy + 16 = 0; θ = 45°

Question

Mathematics

Noel Gonzalez

16 August, 18:03

Write the equation in terms of a rotated x'y'-system using θ, the angle of rotation. write the equation involving x' and y' in standard form. xy + 16 = 0; θ = 45°

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Answers (1)

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Irvin Lutz · Answer 1

xy + 16 = 0 is an equation for rectangular hyperbola. A clockwise rotation by 45 degrees yields a hyperbola of the form:

x^2/^2 - y^2/b^2 = 1

Hence from the given choices of this problem, the answer is:

y'^2/32 - x'^2/32 = 1