Question

State True or False:
In a rectangular coordinate system, the coordinate axes are chosen such that they form a pair of perpendicular lines.

Answer 1

The coordinate axes divide the plane into four quadrant as shown in the above figure.

They cut at a point $(0,0)$ called origin such that the four quadrants has a pair of co-ordinates with different signs.

For example, All the points in I${}^{st}$ quadrant has both the co-ordinates positive.

And as they intersect each other at origin, they form a pair of perpendicular lines.

Hence, the given statement is true.