Question
Find the equation of the hyperbola where foci are and the length of the latus rectum is 36.
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Text solutionVerified
Solution: Here, Foci of hyperbola
That means the transverse axis of the hyperbola is -axis.
So, the equation will be of the type,
Also,
Length of latus rectum
In a hyperbola,
Putting value of and ,
But, can not be negative, so,
Putting values of and in (1),
That means the transverse axis of the hyperbola is -axis.
So, the equation will be of the type,
Also,
Length of latus rectum
In a hyperbola,
Putting value of and ,
But, can not be negative, so,
Putting values of and in (1),
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Question Text | Find the equation of the hyperbola where foci are and the length of the latus rectum is 36. |
Answer Type | Text solution:1 |
Upvotes | 150 |