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The curve with the property that the pro...

The curve with the property that the projection of the ordinate on the normal is constant and has a length equal to `a` is

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Find the curve for which the perpendicular from the foot of the ordinate to the tangent is of constant length.

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Knowledge Check

  • The projection of a line segment on the co-ordinate 3, 4, 5, then its length is

    A
    12
    B
    50
    C
    `5sqrt(2)`
    D
    none of these

  • The curve such that the ratio of the subnormal at any point to the sum of its abscissa and ordinate is equal to the ratio of the ordinate of this point to its abscissa is

    A
    `y=log|Cx|`
    B
    `y=x^2+Cx`
    C
    `y=xlogC(x^2+y^2)`
    D
    `y=xlog|Cx|`

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