Question 928231: find equation of hyperbola where foci is (9,0) and hyperbola passes through (12,3)
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website! find equation of hyperbola where foci is ( , ) and hyperbola passes through ( , )
The general formula of a hyperbola is:
Since, (, ) is a point on the hyperbola, we have:
 ........eq.(1)
Since the foci is (,), we have:
 .....eq.(2)
Substituting (2) into (1), we have:
 ....common denominator is 
 ....write  as 
solutions:
=> =>
=> =>
Suppose , from (2), we have:
 =>rejected, since a square cannot be negative
Suppose , from (2), we have:
 => this solution is accepted
Thus, we have:
foci is (,) and ( ,)
hyperbola passes through (,)
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