From any point R two normals which are right angled to one another are drawn to the hyperbola 
. If the feet of the normal are P and Q then the locus of the circumcentre of the 
is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
C
Clearly tangents at P and Q intersect at right angle. Let 
is point of intersection
are cyclic
lies on the director circle of hyperbola
The chord with midpoint 
i.e circumcentre will be same as equation of the chord of contact w.r.t. S
and 
are identical comparing and removing 
locus is 
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