Find the Vertices and Foci of the Conic Section Without $x y = 36$

question 6

Multiple Choice

Find the vertices and foci of the conic section without axis rotation by analyzing the graph geometrically in the xy-plane.
-The hyperbola $x y = 36$

• A) \(\mathrm { V } : ( 6,6 ) , ( - 6 , - 6 )\)
• \(F : ( 6 \sqrt { 2 } , \sqrt { 2 } ) , ( - 6 \sqrt { 2 } , - \sqrt { 2 } )\)
• B) \(\mathrm { V } : ( 6 \sqrt { 2 } , 6 \sqrt { 2 } ) , ( - 6 \sqrt { 2 } , - 6 \sqrt { 2 } )\)
• F: \(( 6,6 ) , ( - 6 , - 6 )\)
• C) V: \(( 6,6 ) , ( - 6 , - 6 )\)
• \(F : ( 6 \sqrt { 2 } , 6 \sqrt { 2 } ) , ( - 6 \sqrt { 2 } , - 6 \sqrt { 2 } )\)
• D) V: \(( - 6,6 ) , ( 6 , - 6 )\)
• F: \(( - 6 \sqrt { 2 } , 6 \sqrt { 2 } ) , ( 6 \sqrt { 2 } , - 6 \sqrt { 2 } )\)

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Definitions:

Males

Refers to the biological category of the sex that produces small, mobile gametes, typically associated with XY chromosomes in humans.

Females

Individuals of a species that are biologically characterized by the production of ova (eggs) and typically possess distinct anatomical and physiological features related to this reproductive role.

Heterosexual

A sexual orientation characterized by an attraction to members of the opposite sex.

Queer

A term used to describe sexual and gender identities that are not heterosexual or cisgender.