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 c e n t e r e d space a t space o r i g i n space w h o s e space f o c a l space l e n g t h
i s space 34 space u n i t s space a n d space t h e space d i s tan c e space o f space t h e space f o c u s space f r o m space t h e space c l o s e s t space v e r t e x space i s space 2 space u n i t s ?

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Asked by Topperlearning User | 17th Nov, 2016, 03:19: AM

Expert Answer:

L e t space t h e space e q u a t i o n space b e x squared over a squared minus y squared over b squared equals 1
G i v e n space 2 square root of a squared plus b squared end root equals 34
rightwards double arrow a squared plus b squared equals 289
space d i s tan c e space o f space t h e space f o c u s space t o space t h e space c l o s e s t space v e r t e x space i s space 2 space u n i t s space s o
square root of a squared plus b squared end root minus a equals 2
rightwards double arrow 17 minus a equals 2
rightwards double arrow a equals 15
b squared equals 64
S o space t h e space e q u a t i o n space i s space x squared over 225 minus y squared over 64 equals 1

Answered by  | 17th Nov, 2016, 05:19: AM