Question

Answer the questions with the help of the fig. 5.36

(i) Write the name of the line having equation y = 4
(ii) Write the co-ordinates of the point of intersection of line AB and line MN.
(iii) What is the equation of line EF?
(iv) Write the equations of line MN, line PQ, line AB and line CD.

Figure

Answer 1

(i) Line MN is parallel to X-axis and is at a distance of 4 units from X-axis in the positive direction of Y-axis.

(ii)The coordinates of the point of intersection of the lines AB and MN are (3, 4).

(iii) Line EF is parallel to X-axis and at a distance of 3 units from Y-axis in the negative direction of Y-axis.
Therefore equation of CD is y = $-$ 3.

(iv) Line MN is parallel to X-axis and is at a distance of 4 units from X-axis in the positive direction of Y-axis.
Therefore equation of MN is y = 4.

Line PQ is parallel to Y-axis and is at a distance of 4 units from X-axis and in the positive direction of X-axis.
Therefore equation of PQ is x = 4.

Line AB is parallel to Y-axis and is at a distance of 3 units from X-axis in the positive direction of X-axis.
Therefore equation of AB is x = 3.

Line CD is parallel to Y-axis and is at a distance of 2.5 units from Y-axis in the negative direction of X-axis.
Therefore equation of CD is x = $-$ 2.5.