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The number of distinct line(s) which is/...

The number of distinct line(s) which is/are tangent at a point on curve `4x^3 = 27y^2` and normal at other point, is

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Find the equation of the straight line which is a tangent at one point and normal at another point to the curve y=8t^(3)-1, x=4t^(2)+3 .

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Knowledge Check

  • The equation of the straight lines which are both tangent and normal to the curve 27x^(2)=4y^(3) are

    A
    `x= pm sqrt2(y-2)`
    B
    `x=pm sqrt3(y-2)`
    C
    `x=pmsqrt2(y-3)`
    D
    `x=pmsqrt3(y-3)`

  • At which point the tangent to the curve x^2+y^2=25 is parallel to the line 3x-4y=7 is

    A
    (3, -4)
    B
    (1,2)
    C
    (1, 3)
    D
    None of these

  • At which point the tangent to the curve x^(2)+y^(2)=25 is parallel to the line 3x-4y=7 ?

    A
    `(3,4),(-3,-4),`
    B
    `(3,-4),(-3,4)`
    C
    `(4,3)(-4,-3)`
    D
    `(-4,3)(4,-3)`

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