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Find the shortest distance between the l...

Find the shortest distance between the line `x - y +1 = 0` and the curve `y^2 = x.`

A

`(3sqrt3)/8`

B

`(2sqrt3)/8`

C

`(3sqrt2)/5`

D

`sqrt3/4`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The shortest distance between the line x - y = 1 and the curve x^2 = 2y is :

    A
    `1/2`
    B
    `1/(2sqrt(2))`
    C
    `1/(sqrt2)`
    D
    `0`

  • The shortest distance between the line y - x=1 and the curve y = x^2 is

    A
    `(2sqrt3)/8`
    B
    `(3sqrt2)/5`
    C
    `sqrt3/2`
    D
    `(3sqrt2)/8`

  • The shortest distance between the line y -x =1 and the curve x = y^2 is

    A
    `(3 sqrt2)/8`
    B
    `(2sqrt3)/8`
    C
    `(3sqrt2)/5`
    D
    `sqrt3/4`

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