If $A, B, a n d C$ are three points on the hyperbola $x y = c^{2}$ such that $A B$ subtends a right angle at $C,$ then prove that $A B$ is parallel to the normal to the hyperbola at point $C ˙$

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Harper Discussed

A, B, a n d C

are three points on the hyperbola

x y = c^{2}

such that

A B

subtends a right angle at

C,

then prove that

A B

is parallel to the normal to the hyperbola at point

C ˙

5 mins ago

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