Question
Find the equation of the hyperbola satisfying the given conditions: Foci the latus rectum is of length
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Text solutionVerified
Here the foci are on the -axis
Therefore, the equation of the hyperbola is of the form
Since the foci are
Length of latus rectum
We know that
Since a in non-negative
Thus the equation of the hyperbola is
Therefore, the equation of the hyperbola is of the form
Since the foci are
Length of latus rectum
We know that
Since a in non-negative
Thus the equation of the hyperbola is
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Let be the line passing through the points and . Let be the set of all pairs of circles such that is tangent to at and tangent to at , and also such that and touch each other at a point, say, . Let be the set representing the locus of as the pair varies in . Let the set of all straight lines segments joining a pair of distinct points of and passing through the point be . Let be the set of the mid-points of the line segments in the set . Then, which of the following statement(s) is (are) TRUE?The point lies in (b) The point does NOT lie in (c) The point lies in (d) The point does NOT lie in Stuck on the question or explanation?
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Question Text | Find the equation of the hyperbola satisfying the given conditions: Foci the latus rectum is of length |
Answer Type | Text solution:1 |
Upvotes | 150 |