Tangent to a curve intercepts the y-axis at a point P. A line perpendicular to this tangent through P passes through another point (1, 0). The differential equation of the curve

\[\frac{x{{d}^{2}}y}{d{{x}^{2}}}+{{\left( \frac{dy}{dx} \right)}^{2}}=0\]

\[y\frac{dy}{dx}-x{{\left( \frac{dy}{dx} \right)}^{2}}=1\]

Tangent to a curve intercepts the y-axis at a point P. A line perpendi

1.	Tangent to a curve intercepts the y-axis at a point P. A line perpendicular to this tangent through P passes through another point (1, 0). The differential equation of the curve
A.	\[y\frac{dy}{dx}-x{{\left( \frac{dy}{dx} \right)}^{2}}=1\]
B.	\[\frac{x{{d}^{2}}y}{d{{x}^{2}}}+{{\left( \frac{dy}{dx} \right)}^{2}}=0\]
C.	\[y\frac{dx}{dy}+x=1\]
D.	None of these
Answer» B. \[\frac{x{{d}^{2}}y}{d{{x}^{2}}}+{{\left( \frac{dy}{dx} \right)}^{2}}=0\]

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Tangent to a curve intercepts the y-axis at a point P. A line perpendicular to this tangent through P passes through another point (1, 0). The differential equation of the curve

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