Question 1: Find the equation of the line parallel to x-axis and passing through (3, 5) . 

Answer:

Equation of a line parallel to x-axis is y = k

The line passes through ( 3, -5)

\therefore k = -5

Hence the equation of the line is y + 5 = 0 \text{ or }  y = - 5

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Question 2: Find the equation of the line perpendicular to x-axis and having intercept - 2 on x-axis.

Answer:

Equation of  a like perpendicular to x-axis is x = k

The line passes through (-2, 0)

\therefore k = -2

Hence the equation of line is x + 2 = 0 \text{ or }  x=-2

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Question 3: Find the equation of the line parallel to x-axis and having intercept -2 on y-axis.

Answer:

Equation of a line parallel to x-axis is y = k

The line passes through ( 0, -2)

\therefore k = -2

Hence the equation of the line is y + 2 = 0 \text{ or }  y = -2

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Question 4: Draw the lines x=-3, x=2, y = -2, y =3 and write the coordinates of the vertices of the square so formed.

Answer:2021-01-06_11-10-25

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Question 5: Find the equations of the straight lines which pass through (4, 3) and are respectively parallel and perpendicular to the x-axis.

Answer:

i)        Equation of a line parallel to x-axis is y = k

The line passes through ( 4, 3)

\therefore k = 3

Hence the equation of the line is y -3 = 0 \text{ or }  y = 3

ii)      Equation of  a like perpendicular to x-axis is x = k

The line passes through (4,3)

\therefore k = 4

Hence the equation of line is x -4 = 0 \text{ or }  x = 4

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Question 6: Find the equation of a line which is equidistant from the lines x = - 2 and x = 6 .

Answer:

Line equidistant from the lines x = - 2 and x = 6 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 x = k

The line passes through (2,0)

\therefore k = 2

Hence the equation of line is x - 2 = 0 \text{ or }  x=2

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Question 7: Find the equation of a line equidistant from the lines y = 10 and y = -2 .

Answer:

Line equidistant from the lines y = 10 and y = -2 will pass through the mid point of ( 0,10) and ( 0, -2) which is (0, 4)

Equation of a line parallel to x-axis is y = k

The line passes through ( 0,4)

\therefore k = 4

Hence the equation of the line is y -4 = 0 \text{ or }  y = 4