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