(i) Which bisects the first quadrant angle?
Given: Line bisects the first quadrant
We know that, if the line bisects in the first quadrant, then the angle must be between line and the positive direction of x – axis.
Since, angle =\( \dfrac{90}{2}\) = 45°
By using the formula,
The slope of the line, m = tan θ
The slope of the line for a given angle is m = tan 45°
So, m = 1
The slope of the line is 1.
(ii) Which makes an angle of 30° with the positive direction of y – axis measured anticlockwise?
Given: The line makes an angle of 30° with the positive direction of y – axis.
We know that, angle between line and positive side of axis = 90° + 30° = 120°
By using the formula,
The slope of the line, m = tan θ
The slope of the line for a given angle is m = tan 120°
So, m = \( -\sqrt{3}\)
The slope of the line is \( -\sqrt{3}\)
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