Q13 of 85 Page 233

Show that the equation of the line passing through the origin and making an angle with the line is

Let the equation of the line passing through the origin be y = m1x.


If this line makes an angle of Ɵ with line y = mx + c, then angle Ɵ is given by


Thus,





Case I :






Case II :






Therefore, the required line is given by


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