Question
If tangent to any members of family of hyperbolas , is not a normal to any member of family of circles , where μ is any real parameter, then θbelongs to

All of these



easy
Solution
All of these
The equation of the hyperbola is xy = c^{2}, where . The equation of any tangent to it is . If it is normal to each member of the family of circles, it must pass through the centre of each circle i.e. (1, 1).
This will have nonreal roots, if
.
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