differential equation of family of curves whose tangentform an angle of \( \pi / 4 \) with the h...
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differential equation of family of curves whose tangentform an angle of \( \pi / 4 \) with the hyperbola \( x y=C^{2} \)
(A) \( \frac{d y}{d x}=\frac{x^{2}+C^{2}}{x^{2}-C^{2}} \)
(B) \( \frac{d y}{d x}=\frac{x^{2}-c^{2}}{x^{2}+c^{2}} \)
(C) \( \frac{d y}{d x}=-\frac{c^{2}}{x^{2}} \)
(D) none of these
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