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F i n d 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 space w i t h space a s y m p t o t e s space y equals plus-or-minus x space a n d space f o c i space a t space open parentheses plus-or-minus 2 comma 0 right parenthesis close parentheses

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

Asked by Topperlearning User 17th November 2016, 2:02 AM
Answered by Expert
Answer:

G i v e n space t h e space f o c i space a t space left parenthesis plus-or-minus 2 comma 0 right parenthesis space w e space c a n space s a y space t h a t space t h e space t r a n s v e r s e space a x i s space i s space t h e space X minus a x i s
a n d space t h e space c e n t e r space a t space o r i g i n. T h e space e q u a t i o n space w i l l space b e space o f space t h e space f o r m
x squared over a squared minus y squared over b squared equals 1
T h e space a s y m p t o t e s space o f space t h e space h y p e r b o l a space w i l l space b 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 space b over a equals 1 rightwards double arrow a equals b
a squared plus b squared equals 2 squared
rightwards double arrow 2 a squared equals 4
rightwards double arrow a squared equals 2
S o space t h e space r e q u i r e d space e q u a t i o n space o f space h y p e r b o l a space i s space x squared minus y squared equals 2

Answered by Expert 17th November 2016, 4:02 AM
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