To locate the position of an object or a point in a plane, we require the following perpendicular lines.
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → One horizontal and one vertical line
A point in a plane is fixed by two distances: how far it is from a vertical line and how far it is from a horizontal line. That is why the plane is given two perpendicular axes, the horizontal x-axis and the vertical y-axis, meeting at the origin O.
The x-coordinate is the distance from the vertical line (y-axis)
The y-coordinate is the distance from the horizontal line (x-axis)
Why the other options are incorrect
Option (2) Not required horizontal line but two vertical lines — Incorrect. Two vertical lines are parallel, not perpendicular, and both measure only the sideways distance.
Option (3) Only one horizontal line — Incorrect. It gives only the height of the point; every point on a line parallel to it has the same height.
Option (4) Only one vertical line — Incorrect. It gives only the sideways distance; every point on a line parallel to it has the same one.