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CBSE Class 11-science Answered

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 v e r t i c e s space open parentheses 0 comma plus-or-minus 3 close parentheses space a n d space h a s space a space f o c u s space a t
left parenthesis 0 comma 5 right parenthesis.

Please provide solution to this question Please provide solution to this question
Asked by Topperlearning User | 17 Nov, 2016, 01:30: AM
Expert Answer

G i v e n space t h e space v e r t i c e s space open parentheses 0 comma plus-or-minus 3 close parentheses space a n d space f o c u s space left parenthesis 0 comma 5 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 w i l l space b e space t h e space Y minus a x i s
a n d space t h e space c e n t e r space i s space a t space t h e space o r i g i n
s o space 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 space y squared over a squared minus x squared over b squared equals 1
g i v e n space a equals plus-or-minus 3 rightwards double arrow a squared equals 9
F o c u s space equals square root of a squared plus b squared end root
rightwards double arrow a squared plus b squared equals 25
rightwards double arrow b squared equals 16
S o space t h e space e q u a t i o n space i s space y squared over 9 minus x squared over 16 equals 1

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