For the Conic Section 5x² - 8xy + 5y² = $\beta$

question 74

Essay

For the conic section 5x² - 8xy + 5y² = 9 in the xy-plane
(a) Use rotation of axes to find the corresponding equation in the XY-plane (clearly state the angle of rotation $\beta$ ).
(b) Sketch the graph in xy-plane.

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