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P is the point of contact of the tang...

P is the point of contact of the tangent from the orign to the curve `y=log_(e)^(x ).` the length of the perpendicular drawn from the origin to the normal at P is

A

`sqrt(e^(2)+1)`

B

`2sqrt(e^(2)+1)`

C

`(1)/(e )`

D

`(1)/(2e)`

Text Solution

Verified by Experts

The correct Answer is:
A
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Knowledge Check

  • P is the point of contact of the tangent from the origin to the curve y=log_(e)x The length of the perpendicular drawn from the origin to the normal at p is

    A
    `1/e`
    B
    `1/(2e)`
    C
    `sqrt(e^(2)+1)`
    D
    `2sqrt(e^(2)+1)`

  • The length of the perpendicular from the origin to the plane 3x+4y+12z ne 52 is

    A
    3
    B
    -4
    C
    5
    D
    4

  • Foot of perpendicular drawn from the origin to the plane 2x-3y +4z = 29 is ______

    A
    `(2,-3,4)`
    B
    `(5,-2,3)`
    C
    `(5,-1,4)`
    D
    `(7,-1,3)`

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    Foot of perpendicular drawn from the origin to the plane 2x-3y + 4z=29 is_________

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    If p is the length of perpendicular from A to BC in a DeltaABC, then:

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