Q5 of 169 Page 677

Find the equation of the bisectors of the angles between the coordinate axes.

Given: The straight lines are x = 0 and y = 0.

Formula to be used: If is the angle between two straight lines a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 then the equation of their angle bisector is

the equation of the angle bisectors is

i.e.

Find the equation of the line whose inclination is and which makes an intercept of 6 units on the negative direction of the y - axis.

Find the equation of the line cutting off an intercept - 2 from the y - axis and equally inclined to the axes.

Find the equation of the line through the point ( - 1, 5) and making an intercept of - 2 on the y - axis.

Find the equation of the line which is parallel to the line 2x – 3y = 8 and whose y - intercept is 5 units.