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A Model of the Form y2=4pxy ^ { 2 } = 4 p x

Question 107

Multiple Choice

A model of the form y2=4pxy ^ { 2 } = 4 p x is given. Identify the focus, and write an equation for the directrix.
- y2=3xy ^ { 2 } = - 3 x


A) focus: (34,0) \left( - \frac { 3 } { 4 } , 0 \right) ; directrix: x=34x = \frac { 3 } { 4 }
B) focus: (0,34) \left( 0 , \frac { 3 } { 4 } \right) ; directrix: y=34y = - \frac { 3 } { 4 }
C) focus: (34,0) ;\left( - \frac { 3 } { 4 } , 0 \right) ; directrix: x=34x = - \frac { 3 } { 4 }
D) focus: (0,34) ;\left( 0 , - \frac { 3 } { 4 } \right) ; directrix: y=34y = \frac { 3 } { 4 }

Correct Answer:

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