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The differential equation of family of curves whose tangent form an angle of `pi/4` with the hyperbola `xy=C^2` is

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Which of the following is not the differential equation of family of curves whose tangent from an angle of pi/4 with the hyperbola xy=c^(2) ?

The differential equation of family of curves whose tangents form an angle of pi/4 with the hyperbola xy=k is (A) dy/dx=(x^2+ky)/(x^2-ky) (B) dy/dx=(x+k)/(x-k) (C) dy/dx=-k/x^2 (D) dy/dx=(x^2-k)/(x^2+k)

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