Write the answer of each of the following questions:
(i) What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?
(ii) What is the name of each part of the plane formed by these two lines?
(iii) Write the name of the point where these two lines intersect
Answer:
The horizontal line is called the x-axis.
The vertical line is called the y-axis.
These two axes together form the Cartesian coordinate system, which is used to determine the position of any point in the plane using ordered pairs of numbers (x, y).
Answer:
The plane formed by the x-axis and y-axis is divided into four quadrants:
First quadrant: Both x and y are positive (x > 0, y > 0).
Second quadrant: x is negative and y is positive (x < 0, y > 0).
Third quadrant: Both x and y are negative (x < 0, y < 0).
Fourth quadrant: x is positive and y is negative (x > 0, y < 0).
Additionally, the axes themselves divide the plane into regions:
The x-axis and y-axis themselves, dividing the plane into these quadrants and the coordinate axes (x = 0 and y = 0).
Answer:
The point where the x-axis and y-axis intersect is called the origin.
The coordinates of the origin are (0, 0).