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The differential equation for all the straight lines which are at a unit distance from the origin is
PI
(a)
\( \left(y-x \frac{d y}{d x}\right)^{2}=1-\left(\frac{d y}{d x}\right)^{2} \)
(b) \( \left(y+x \frac{d y}{d x}\right)^{2} \)
\[
=1+\left(\frac{\mathrm{dy}}{\mathrm{dx}}\right)^{2}
\]
(c) \( \left(y-x \frac{d y}{d x}\right)^{2}=1+\left(\frac{d y}{d x}\right)^{2} \)
(d) \( \left(\mathrm{y}+\mathrm{x} \frac{\mathrm{dy}}{\mathrm{dx}}\right)^{2}=1-\left(\frac{d y}{d x}\right)^{2} \)
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