Note: The equation of a line having slope of as
is given by
Question 1: Find the equation of a line making an angle of with the x-axis and cutting off an intercept
from y-axis
Answer:
Question 2: Find the equation of a straight line:
(i) with slope and y-intercept
(ii) with slope and y-intercept
(iii) with slope and intersecting the x-axis at a distance of
units to the left of origin.
Answer:
we get
Hence the equation of a straight line with slope and y-intercept
is
Hence the equation of a straight line with slope and y-intercept
is
and passes through
we get
we get the equation of the line is
Hence the equation of a straight line with slope and passes through
is
Question 3: Find the equations of the bisectors of the angles, between the coordinate axes.
Answer:
we get the equation of line 1 is
we get the equation of line 2 is
Hence the equations of the bisectors of the angles, between the coordinate axes
Question 4: Find the equation of a line which makes an angle of with the x-axis and cuts off an intercept of
units on negative direction of y-axis.
Answer:
Hence the equation of a line which makes an angle of with the x-axis and cuts off an intercept of
units on negative direction of y-axis is
Question 5: Find the equation of a line that has y-intercept and is parallel to the line joining
.
Answer:
Hence equation of a line that has y-intercept and is parallel to the line joining
is
Question 6: Find the equation of a line which is perpendicular to the line joining and cuts off an intercept of length
on y-axis.
Answer:
Hence the equation of the required equation is
Question 7: Find the equation of the perpendicular to the line segment joining if it cuts off an intercept
from y-axis.
Answer:
we get the equation as
Hence the equation of the required equation is
Question 8: Find the equation of the straight line intersecting y-axis at a distance of units above the origin and making an angle of
with the positive direction of the x-axis
Answer:
we get the equation as
Hence the equation of the required equation is