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A point is moving along the curve y^(3)=...

A point is moving along the curve `y^(3)=27x`. The interval in which the abscissa chnages at alower rate than ordinate, is (a, b). Then `(a+b)` is ………….

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Explore conceptually related problems

A point is moving along y^(3)=27x. The interval in which the abscissa changes at slower rate than ordinate is

On the curve x^(3)=12y , find the interval at which the abscissa changes at a faster rate than the ordinate.

Knowledge Check

  • The points on the curve 12y = x^(3) whose ordinate and abscissa change at the same rate, are

    A
    `(-2, -2//3), (2, 2//3)`
    B
    `(-2//3, -2), (2//3, 2)`
    C
    `(-2, -2//3)` only
    D
    `(2//3, 2)` only

  • The point on the parabola y^(2)=4x at which the abscissa and ordinate change at the same rate is

    A
    `(2 , 2 sqrt2)`
    B
    `(2, -2 sqrt2)`
    C
    `(1, 2)`
    D
    `(4, 4)`

  • A particle moves along the curve 12y=x^(3) . . Which coordinate changes at faster rate at x=10 ?

    A
    x-coordinate
    B
    y-coordinate
    C
    Both x and y-coordinate
    D
    Data insufficient

    • Similar Questions

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    Find the point on the curve y^(2).8x. for which the abscissa and ordinate change at the same rate.

    Find a point on the curve y^(2)=2x at which the abscissa and ordinates are increasing at the same rate.

    Find the point on the curve y^2=8x at which the abscissa and the ordinate change at the same rate.

    The point on the circle x^(2)+y^(2)=8 at which the abscissa and ordinate increase at the same rate is

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