1.

A perpendicular drawn from any point P of the curve on the x-axis meets the x-axis at A. Length of the perpendicular from A on the tangent line at P is equal to ‘a’. If this curve cuts the y-axis orthogonally, find the equation to all possible curves, expressing the answer explicitly.

Answer»


ANSWER :`y = +- a (E^x/a + e^ -x/a)/2 & y +- a`


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