F i n d space 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 x squared over 4 minus y squared over 36 equals 1

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Asked by Topperlearning User | 17th Nov, 2016, 01:48: AM

Expert Answer:

T h e space g i v e n space h y p e r b o l a space i s space x squared over 4 minus y squared over 36 equals 1
E q u a t i n g space t h e space l e f t space h a n d space s i d e space t o space 0 space w e space g e t
x squared over 4 minus y squared over 36 equals 0
rightwards double arrow open parentheses x over 2 plus y over 6 close parentheses open parentheses x over 2 minus y over 6 close parentheses equals 0
rightwards double arrow y equals plus-or-minus 3 x space i s space t h e space r e q u i r e d space a s y m p t o t e s

Answered by  | 17th Nov, 2016, 03:48: AM