In the curve $y = c e^{\frac{x}{a}}$ , the sub-tangent is constant sub-normal varies as the square of the ordinate tangent at $(x_{1}, y_{1})$ on the curve intersects the x-axis at a distance of $(x_{1} - a)$ from the origin equation of the normal at the point where the curve cuts $y - a ξ s$ is $c y + a x = c^{2}$

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Benjamin Discussed

In the curve

y = c e^{\frac{x}{a}}

, the sub-tangent is constant sub-normal varies as the square of the ordinate tangent at

(x_{1}, y_{1})

on the curve intersects the x-axis at a distance of

(x_{1} - a)

from the origin equation of the normal at the point where the curve cuts

y - a ξ s

c y + a x = c^{2}

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Question Text

In the curve

y = c e^{\frac{x}{a}}

, the sub-tangent is constant sub-normal varies as the square of the ordinate tangent at

(x_{1}, y_{1})

on the curve intersects the x-axis at a distance of

(x_{1} - a)

from the origin equation of the normal at the point where the curve cuts

y - a ξ s

c y + a x = c^{2}

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