A normal is drawn at a point P(x,y) of a curve. It meets the x-axis and the y-axis in point A AND B, respectively, such that OA1+OB1 =1, where O is the origin. Find the equation of such a curve passing through (5,4)

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Question

A normal is drawn at a point $P (x, y)$ of a curve. It meets the x-axis and the y-axis in point $A$ AND $B,$ respectively, such that $\frac{1}{O A} + \frac{1}{O B}$ =1, where $O$ is the origin. Find the equation of such a curve passing through $(5, 4)$

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Asher Discussed

A normal is drawn at a point

P (x, y)

of a curve. It meets the x-axis and the y-axis in point

A

AND

B,

respectively, such that

\frac{1}{O A} + \frac{1}{O B}

=1, where

O

is the origin. Find the equation of such a curve passing through

(5, 4)

9 mins ago

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