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Find a point on the curve y=x^(3), when ...

Find a point on the curve `y=x^(3)`, when the tangent is parallel to the chord joining (1,1), (3,27).

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Explore conceptually related problems

Find a point on the graph of the curve y=x^(3) , where the tangent is parallel to the chord joining (1, 1) and (3, 27) .

Find a point on the graph of the curve y=(x-3)^(2) , when the tangent is parallel to the chord joining (3, 0) and (4, 1) .

Knowledge Check

  • The point on the curve y=x^3+x-2 , the tangent at which is parallel to the line y=4x-1 is

    A
    `(1,0),(-1,-4)`
    B
    `(0,-1),(-2,3)`
    C
    `(2,13),(-2,-3)`
    D
    `(1,2),(1,-2)`
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    On the curve y=x^(2) , find a point at which the tangent is parallel to the chord joining (0,0) and (1,1).

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