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find the number of straight lines that a...

find the number of straight lines that are equally inclined to three-dimensional coordinate axes, is

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The correct Answer is:
8
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The number of lines which are equally inclined to the coordinate axes is

The d.c.'s of a line which is equally inclined to the coordinate axes are

Knowledge Check

  • The number of lines which are equally inclined to the coordinate axes is

    A
    3
    B
    4
    C
    5
    D
    6
  • If the lines x^(2)+(2+h)xy-4y^(2)=0 are equally inclincd to the coordinate axes then h=

    A
    `-3`
    B
    `-2`
    C
    `-4`
    D
    `-8`
  • If the lines ax^(2) + 2hxy + by^(2)= 0 are equally inclined with the coordinate axes then

    A
    `h^(2)=ab`
    B
    `h=0, ab gt 0`
    C
    `h=0 ab lt 0`
    D
    `h ne 0 ab lt 0`
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    Find the angles at which the normal line to the plane 8x-4y+z+1=0 is inclined to the coordinate axes.

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