Question

Find the equations of those lines which passes through origin and 

(i) makes an angle of – 135° with x-axis. 

(ii) makes an angle of 60° with OY in Ist quadrant.

(iii) cut intercepts of 5 units with +ve axis of y and is parallel to bisector of angle XOY.

Answer 1

Standard equation of line with slope m and passes through origin, y = mx

(i) m = tan(-135°) = 1

(ii) Slope of line AB

(iii) Equation of line PQ