Find the equation of a line through the origin which makes an angle of `45^0` with the positive direction of x-axis.

Find the slope of a line which makes an angle of 45^@ with the positive direction of Y-axis.

Find the equation of a line passing through the origin and making an angle of 120^(@) with the positive direction of the x-axis.

Find the equation of the straight line which makes an angle of 15^(@) with the positive direction of x-axis and which cuts and intercept of length 4 on then negative direction of y-axis.

(i) Find the equation of a line passing through origin and makes an angle of 60^(@) from the positive direction of X -axis. (ii) Find the equation of a line for which tan theta=2 and the length of intercept on X -axis is 3 units.

Find the slope of a line which makes an angle of 45^(@) with positive direction of X-axis.

Find the slope of a line which makes an angle of 45^@ with the negative direction of X-axis.

The equation of a line which passes through (2,3) and makes an angle of 30^(@) with the positive direction of x-axis is

Find the equation of the lines through the point (3,2) which make an angle of 45^(@) with the line x-2y=3

Find the equation of a line passing through the point (0,-2) and makes an angle of 75^(@) from the positive direction of X -axis.

Find the equation a line passing through (2,-3) and inclined at an angle of 15^(@) with the positive direction of x -axis.