Find the equation of the line through the point `A(2,3)` and making an angle an angle of `45^0` with the `x-a x i s` . Also, determine the length of intercept on it between `Aa n d` the line `x+y+1=0.`

The equations of the lines through the point (3, 2) which makes an angle of 45^(@) with the line x - 2y = 3 are

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

Write the equation of the line passing through the point (1,-1) and parallel to the line x+3y -4=0

The equations of the lines through (-1,-1) and making angles 45^(@) with the line x + y = 0 are given by

Find the equation of the lines passing through the point (1,1) and the perpendicular from the origin makes an angle 60^(@) with x-axis.

Find equation of the line through the point(0, 2) making an angle (2pi)/(3) with the positive x-axis. Also, find the equation of line parallel to it and crossing the y-axis at a distance of 2 units below the origin.

The equaiton of the lines through the point (2, 3) and making an intercept of length 2 units between the lines y+2x=3 and y+2x=5 are