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The point on the curve x^3 + y^3 = 3axy ...

The point on the curve `x^3 + y^3 = 3axy` at which the tangent is parallel to x-axis is given by ........ .

Text Solution

Verified by Experts

The correct Answer is:
`(2^(1//3),a,2^(2//3),a)`
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Knowledge Check

  • A point on the curve y= x^(3)-3x + 5 at which the tangent line is parallel to y= -2x is

    A
    (1,3)
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    (0,5)
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    `(2,2)`
    B
    `(3,3)`
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    `(0,0)`
  • The point (s) on the curve y^3+3x^2=12y . Where the tangent is parallel to Y- axis , is (are)

    A
    `(pm4/sqrt2,-2)`
    B
    `(pmsqrt(11/2),1)`
    C
    (0,0)
    D
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