Question 1: Find the equation of the line parallel to x-axis and passing through .
Answer:
Equation of a line parallel to x-axis is
The line passes through
Hence the equation of the line is
Question 2: Find the equation of the line perpendicular to x-axis and having intercept on x-axis.
Answer:
Equation of a like perpendicular to x-axis is
The line passes through
Hence the equation of line is
Question 3: Find the equation of the line parallel to x-axis and having intercept on y-axis.
Answer:
Equation of a line parallel to x-axis is
The line passes through
Hence the equation of the line is
Question 4: Draw the lines and write the coordinates of the vertices of the square so formed.
Answer:
Question 5: Find the equations of the straight lines which pass through and are respectively parallel and perpendicular to the x-axis.
Answer:
i) Equation of a line parallel to x-axis is
The line passes through
Hence the equation of the line is
ii) Equation of a like perpendicular to x-axis is
The line passes through
Hence the equation of line is
Question 6: Find the equation of a line which is equidistant from the lines and
.
Answer:
Line equidistant from the lines and
will pass through the mid point of ( -2, 0) and ( 6, 0) which is (2,0)
Equation of a like parallel to y-axis is
The line passes through
Hence the equation of line is
Question 7: Find the equation of a line equidistant from the lines and
.
Answer:
Line equidistant from the lines and
will pass through the mid point of
and
which is
Equation of a line parallel to x-axis is
The line passes through
Hence the equation of the line is