Show that the st.line, which passes through the point `(4,12)` and makes an angle `tan^(-1)3` with the x-axis passes through the origin.

The equation of one of the straight lines which passes through the point (1,3) and makes an angle tan^(-1)(sqrt2) " with the straight line, " y+1=3sqrt2x is :

Find the equation of the st.line which passes through the point (0,1) and has an inclination of 60^(@) .

The graph of the line x=3 passes through the point

Find the equations of the st.lines which pass through (4,5) and make angle 45^(@) with the st.line 2x+y+1=0

Find the equation of the line which passes through the point (3,-4) and makes an angle of 60^(@) with the positive direction of x - axis ?

Find the equation of the straight line which passes through the point (1,2) and makes such an angle with the positive direction of x-axis whose sine is (3)/(5)

A line passes through the origin and makes an angle of (pi)/(4) with the line x-y+1=0. Then

Determine 'a' so that the line passing through the point (3,4)and (a,5) makes angle of 135^(@) with positive x-axis.

Find the equation of a line which makes an angle of 135^(@) with the x-axis and passes through the point (3,5).