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T h e space a n g l e space b e t w e e n space t h e space a s y m t o t e s space o f space a space h y p e r b o l a space i s space straight pi over 3 space a n d space 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 i s space 8. 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 ?
space

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

Asked by Topperlearning User 17th November 2016, 3:08 AM
Answered by Expert
Answer:

G i v e n space 2 tan to the power of negative 1 end exponent b over a equals straight pi over 3
rightwards double arrow tan to the power of negative 1 end exponent b over a equals straight pi over 6
rightwards double arrow b over a equals fraction numerator 1 over denominator square root of 3 end fraction
2 a equals 8 rightwards double arrow a equals 4
b equals fraction numerator 4 over denominator square root of 3 end fraction
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 t h e space h y p e r b o l a space i s space x squared over 16 minus fraction numerator 3 y squared over denominator 16 end fraction equals 1

Answered by Expert 17th November 2016, 5:08 AM
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