Q. 133.9( 41 Votes )

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

Answer :

Let the equation of the line passing through the origin be y = m_{1}x.

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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