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.

---

Definitions:

Situational Prejudice

Bias or discrimination that is triggered by specific situations or contexts, rather than being a constant attribute of an individual.

Authoritarian Personality

A type of personality characterized by a strong adherence to authority, compliance to established norms, and submission to authority figures.

Social Dominance Orientation

An individual's degree of preference for inequality among social groups, with a high orientation favoring hierarchical superiority and a low orientation emphasizing equality.

Prejudiced

Holding preconceived opinions or judgments about someone or something without adequate knowledge or factual basis.