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T h e space l e n g t h space o f space t h e space c o n j u g a t e space a x i s space o f space a space h y p e r b o l a space i s space 8 space a n d space t h e space a s y m p t o t e s space a r e
y equals plus-or-minus 2 over 3 x. C a l u l a t e space t h e space e q u a t i o n space o f space t h e space h y p e r b o l a comma space i t s space f o c i space a n d space t h e space v e r t i c e s

Please provide solution to this question Please provide solution to this question

Asked by Topperlearning User 17th November 2016, 2:44 AM
Answered by Expert
Answer:

L e t space t h e space e q u a t i o n space b e space x squared over a squared minus y squared over b squared equals 1
G i v e n space 2 b equals 8 rightwards double arrow b equals 4
A s y m p t o t e s space a r e space o f space t h e space f o r m space y equals plus-or-minus b over a x
O n space c o m p a r i n g space w i t h space t h e space g i v e n space a s y m p t o t e s space w e space g e t
b over a equals 2 over 3
rightwards double arrow a equals 3 over 2 b equals 6
S o space t h e space e q u a t i o n space i s space x squared over 36 minus y squared over 16 equals 1
F o c i space equals left parenthesis plus-or-minus square root of a squared plus b squared end root comma 0 right parenthesis equals left parenthesis plus-or-minus 2 square root of 13 comma 0 right parenthesis
V e r t i c e s equals left parenthesis plus-or-minus a comma 0 right parenthesis equals open parentheses plus-or-minus 6 comma 0 close parentheses

Answered by Expert 17th November 2016, 4:44 AM
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