Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Prove that a normal to the hyperbola 
cannot be normal to its conjugate hyperbola.
Text Solution
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The normal to the given hyperbola at 
is
……(1)
The normal to the conjugate hyperbola at 
is
……(2)
(1) and (2) represent the same line if 
and 
so that 
and 
which is not possible.
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