A rectangular hyperbola passing through 
has its asymptotes parallel to the coordinate axes. If 
is the point of intersection of the two perpendicular tangents of that hyperbola, then its equation is
Text Solution
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Given a rectangular hyperbola whose asymptotes are parallel to coordinate axis and point of intersection of perpendicular tangents (means centre of hyperbola) is 
, the equation of hyperbola we can take as
Hyperbola (i) passes through point 
, so
Therefore equation of the required hyperbola is
Given coordinates of midpoints of the sides 
,
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