Find the slope of a line i. which bisects the first quadrant angle ii. which makes an angle of `30^0` with the positive direction of y-axis measured anticlockwise.

Explanation

(i) Line bisects first quadrant.

Angle between line and positive direction of x-axis` =frac{90^{@}}{2}=45^{circ}`

Slope of line `(m)=tan theta`

`m=tan 45^{@}`

`m=1`

(ii) Line makes angle of `30^{@} `with the positive direction of y-axis,

= Angle between line and positive side of axis `=90^{@}+30^{@}`

`theta=120^{circ}`

...