For each given c 2 r the curve can be thought of locally as, Chemistry

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For each given c 2 r the curve can be thought of locally as

Consider the family of hyperbolas given by:
x^2 -((y^2)/2)=c
For each given c 2 R the curve can be thought of (locally) as an implicit function of y, i.e., y(x). Describe (with a family of equations) the family of curves which are orthogonal to the family of hyperbolas above.

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