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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 t h a t space h a s space t h e space Y minus a x i s space a s space t h e space t r a n s v e r s e space a x i s
c e n t e r space a t space o r i g i n space a n d space p a s s e s space t h r o u g h space t h e space p o i n t s left parenthesis 0 comma 5 right parenthesis space a n d space left parenthesis 2 comma 5 square root of 2 right parenthesis

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Asked by Topperlearning User | 17 Nov, 2016, 01:22: AM
Expert Answer

G I v e n 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 Y minus a x i s space a n d space i t space i s space c e n t e r e d space a t space t h e space o r i g i n space s o space t h e
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
T h e space h y p e r b o l a space p a s s e s space t h r o u g h space left parenthesis 0 comma 5 right parenthesis space a n d space left parenthesis 2 comma 5 square root of 2 right parenthesis space s o
25 over a squared minus 0 equals 1 rightwards double arrow a squared equals 25
50 over a squared minus 4 over b squared equals 1
rightwards double arrow 2 minus 4 over b squared equals 1
rightwards double arrow b squared equals 4
s o space t h e space e q u a t i o n space i s space y squared over 25 minus x squared over 4 equals 1

Answered by | 17 Nov, 2016, 03:22: AM
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