Determine the Equation of the Conic $x y = x ^ { 2 } - y ^ { 2 }$

question 83

Essay

Determine the equation of the conic $x y = x ^ { 2 } - y ^ { 2 }$ in $X Y$ - coordinates if the axes are rotated through an angle $\phi = 60 ^ { \circ }$ .

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Definitions:

Denigrate

To unfairly criticize or disparage someone or something, often with the intent of undermining their credibility or reputation.

Critical Thinking

The objective analysis and evaluation of an issue in order to form a judgment, involving logic and reasoning skills.

Conformity

Adjusting one's behavior or thinking to match those of other people or a group standard.

Social Loafing

The phenomenon where individuals exert less effort to achieve a goal when they work in a group than when they work alone.