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STATEMENT-1 : The distance of (3, 4, 5) ...

STATEMENT-1 : The distance of (3, 4, 5) from x-axis 5.
STATEMENT-2 : The distance of (x, y, z) from xy plane is z.
SATEMENT-3 : The projection of a line segment on the axes are 1, 2, 3 then the length of segment is `sqrt(14)`

A

F T T

B

T T T

C

F F F

D

F F T

Text Solution

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The correct Answer is:
A
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If the projection of a line segment on x, y and z axes are respectively 3,4 and 5 , then the length of the line segment is

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Knowledge Check

  • If the projection of a line segment on X,Y and Z-axes are 3,1 and sqrt(15) respectvely, then length of line segment is

    A
    `5`
    B
    `4+sqrt(15)`
    C
    `5+sqrt2`
    D
    `6`

  • The projections of a line segment on x, y and z axes are respectively 3, 4 and 12. The length of the line segment is

    A
    5
    B
    `4sqrt(10)`
    C
    `3sqrt(17)`
    D
    13

  • The projections of a line segment on x,y,z axes are 12,4, 3. The length and the direction cosines of the line segments are

    A
    `13,lt12//13, 4//13, 3//13gt`
    B
    `19,lt12//19,4//19,3//19gt`
    C
    `11,lt12//11,14//11,3//11gt`
    D
    None of these

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