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Question
Fill in the blank using correct alternative.
A line makes an angle of 30° with the positive direction of X– axis. So the slope of the line is ______.
Options
`1/2`
`sqrt3/2`
`1/sqrt3`
`sqrt3`
Solution
Slope of a line which makes an angle θ with the positive direction of the X-axis is m = tan θ.
∴ Slope of the line which makes an angle 30° with the positive direction of the X-axis is m = tan 30° = `1/sqrt3`.
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