Solve the Problem $\frac { x ^ { 2 } } { 225 } - \frac { y ^ { 2 } } { 400 } = 1$

question 72

Multiple Choice

Solve the problem.
-Find the foci and asymptotes of the following hyperbola: $\frac { x ^ { 2 } } { 225 } - \frac { y ^ { 2 } } { 400 } = 1$

• A) Foci: \(( - 25,0 ) , ( 25,0 ) ;\) Asymptotes: \(y = \frac { 4 } { 3 } x , y = - \frac { 4 } { 3 } x\)
• B) Foci: \(( 0 , - 20 ) , ( 0,20 ) ;\) Asymptotes: \(y = \frac { 3 } { 4 } x , y = - \frac { 3 } { 4 } x\)
• C) Foci: \(( 0 , - 25 ) , ( 0,25 ) ;\) Asymptotes: \(y = \frac { 4 } { 3 } x , y = - \frac { 4 } { 3 } x\)
• D) Foci: \(( - 25,0 ) , ( 25,0 ) ;\) Asymptotes: \(y = \frac { 3 } { 4 } x , y = - \frac { 3 } { 4 } x\)

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Definitions:

Internal Dimensions

Measurements within an object or space, referring to the inner limits or sizes of a cavity or enclosure.

External Dimensions

The measurable extent of an object's outer boundaries or surface size, including width, height, and depth.

F8/h7 Symbol

A code in engineering denoting a specific type of fit between two machined parts, with precisions defined by the letter and number.

Close Running

Fit type characterized by a small but non-restrictive clearance that allows components to move together smoothly without excessive play or looseness.