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T h e space l e n g t h space o f space t h e space t r a n s v e r s 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 12 space a n d space t h e space e c c e n t r i c i t y space i s
4 over 3. space 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

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

Asked by Topperlearning User 17th November 2016, 2:49 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 a equals 12 rightwards double arrow a equals 6
e c c e n t r i c i t y equals fraction numerator square root of a squared plus b squared end root over denominator a end fraction equals 4 over 3
rightwards double arrow fraction numerator a squared plus b squared over denominator a squared end fraction equals 16 over 9
rightwards double arrow 9 b squared equals 7 a squared
rightwards double arrow b squared equals 28
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 28 equals 1

Answered by Expert 17th November 2016, 4:49 AM
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