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If a plane makes intercepts 2,2,1 on X-,...

If a plane makes intercepts 2,2,1 on X-,Y- and Z- axes respectively, then its perpendicular distance from the origin is

A

`1/sqrt(16)`

B

`3/sqrt(16)`

C

`2/sqrt(6)`

D

`5/sqrt(6)`

Text Solution

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The correct Answer is:
A, B, C, D
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Knowledge Check

  • If a plane has x-intercept l, y-intercept m and z-intercet n, and perpendicular distance of plane from origin is k, then

    A
    `(1)/(l^2)+(1)/(m^2)+(1)/(n^2)=k^2`
    B
    `(1)/(l^2)+(1)/(m^2)+(1)/(n^2)=(1)/(k^2)`
    C
    `l^2+m^2+n^2=(1)/(k^2)`
    D
    `l^2+m^2+n^2=k^2`

  • A plane makes intercepts -6,3,4 upon the coordinate axes. Then, the length of the perpendicular from the origin on it is

    A
    `(2)/(sqrt(29))`
    B
    `(3)/(sqrt(29))`
    C
    `(4)/(sqrt(29))`
    D
    `(12)/(sqrt(29))`

  • If for a plane, the intercepts on the coordinate axes are 8,4 and 4, then the length of the perpendicular from the origin on to the plane is

    A
    `8/3`
    B
    `3/8`
    C
    3
    D
    `4/3`

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