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A line makes an anlge of 30^(@) with the...

A line makes an anlge of `30^(@)` with the positive direction of X-axis.
So the slope of the line is _ _ _ _ _ _ _ _

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(sqrt3)`
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Knowledge Check

  • If the length of perpendicular from the origin to a line is 9 and the line makes an angle of 120^@ with the positive direction of Y-axis, then the equation of the line is

    A
    `sqrt3x+y=18`
    B
    `x+y=18sqrt3`
    C
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    D
    `x-sqrt3y=18`

  • The length of perpendicular from the origin to a line is 5 units and the line makes an angle 120^(@) with the positive direction of x-axis. The equation of the line is

    A
    `x+sqrt(3)y=5`
    B
    `sqrt(3)x+y=10`
    C
    `sqrt(3)x-y=10`
    D
    None of these

  • The length of perpendicular from the origin to a line is 5 units and the line makes an angle 120^(@) with the positive direction of X-axis . Then equation of the line is

    A
    `x + sqrt3y = 5`
    B
    `sqrt3x + y = 10`
    C
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    D
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