Solved

Find the Vertices and Locate the Foci for the Hyperbola y=±x26y = \pm \sqrt { x ^ { 2 } - 6 }

Question 48

Multiple Choice

Find the vertices and locate the foci for the hyperbola whose equation is given.
- y=±x26y = \pm \sqrt { x ^ { 2 } - 6 }


A) vertices: (6,0) ,(6,0) ( - \sqrt { 6 } , 0 ) , ( \sqrt { 6 } , 0 )
foci: (23,0) ,(23,0) ( - 2 \sqrt { 3 } , 0 ) , ( 2 \sqrt { 3 } , 0 )
B) vertices: (6,0) ,(6,0) ( - 6,0 ) , ( 6,0 )
foci: (6,0) ,(6,0) ( - \sqrt { 6 } , 0 ) , ( \sqrt { 6 } , 0 )
C) vertices: (6,0) ,(6,0) ( - 6,0 ) , ( 6,0 )
foci: (23,0) ,(23,0) ( - 2 \sqrt { 3 } , 0 ) , ( 2 \sqrt { 3 } , 0 )
D) vertices: (0,6) ,(0,6) ( 0 , - \sqrt { 6 } ) , ( 0 , \sqrt { 6 } )
foci: (0,23) ,(0,23) ( 0 , - 2 \sqrt { 3 } ) , ( 0,2 \sqrt { 3 } )

Correct Answer:

verifed

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions