Q. 244.2( 44 Votes )

# Find the equation

Answer :

It is given that the equations of the tangent and normal to the hyperbola , then,

On differentiating it with respect to x, we get,

Therefore, the slope of the tangent at (x_{0}, y_{0}) is

Then, the equation of the tangent at (x_{0}, y_{0}) is given by:

y - y_{0} =

Then, slope of normal at (x_{0}, y_{0})

=

Therefore, the equation of the normal at (x_{0}, y_{0}) is

y - y_{0} = (x - x_{0})

Therefore, the equation of the normal at (x_{0}, y_{0}) is.

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