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common tangent to y=x^3 and x=y^3...

common tangent to `y=x^3` and ` x=y^3 `

A

`x-y =(1)/(sqrt3)`

B

`x-y =-(1)/(sqrt3)`

C

`x-y =(2)/(3 sqrt3)`

D

`x-y =(-2)/( 3 sqrt3)`

Text Solution

Verified by Experts

The correct Answer is:
C, D
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Knowledge Check

  • Common tagent (s) to y=x^(3)and x=y^(3) is/are

    A
    `x-y=1/sqrt3`
    B
    `x-y=-1/sqrt3`
    C
    `x-y=(2)/(3sqrt3)`
    D
    `x-y=(-2)/(3sqrt3)`

  • The common tangent(s) of y=x^2 and y=-x^2 + 4x – 4 is (are) :

    A
    `y=4(x - 1)`
    B
    `y=- 4(x - 1)`
    C
    `y=0 `
    D
    `y=30x-20`

  • Find the common tangent of y=1+x^(2) and x^(2)+y-1=0 . Also find their point of contact.

    A
    `(0, -4)`
    B
    `(0, -3)`
    C
    `(0,-1)`
    D
    `(0, 1)`

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