Cartesian System
Chapter – Coordinate Geometry Class 9th
Topic – Cartesian System
Q1. What is the Cartesian coordinate system?
Solution:
The Cartesian coordinate system is a system used to locate the position of a point on a plane with the help of two perpendicular number lines called the x-axis and y-axis.
Q2. What are the two perpendicular lines in the Cartesian plane called?
Solution:
The two perpendicular lines are:
1. Horizontal line – x-axis
2. Vertical line – y-axis
Q3. What is the point of intersection of the x-axis and y-axis called?
Solution:
The point of intersection of the x-axis and y-axis is called the origin. Its coordinates are (0, 0).
Q4. Into how many parts do the x-axis and y-axis divide the Cartesian plane?
Solution:
The x-axis and y-axis divide the Cartesian plane into four parts. These parts are called quadrants.
Q5. Name the four quadrants of the Cartesian plane.
Solution:
The four quadrants are:
1. First Quadrant
2. Second Quadrant
3. Third Quadrant
4. Fourth Quadrant
Q6. What are the signs of coordinates in the four quadrants?
Solution:
The signs of coordinates are:
First Quadrant: (+, +)
Second Quadrant: (−, +)
Third Quadrant: (−, −)
Fourth Quadrant: (+, −)
Q7. What is the abscissa of a point?
Solution:
The x-coordinate of a point is called its abscissa.
For example, in the point (5, 3), the abscissa is 5.
Q8. What is the ordinate of a point?
Solution:
The y-coordinate of a point is called its ordinate.
For example, in the point (5, 3), the ordinate is 3.
Q9. In which quadrant does the point (−4, 6) lie?
Solution:
Given point = (−4, 6)
Here, x-coordinate is negative and y-coordinate is positive.
Therefore, the point lies in the Second Quadrant.
Q10. Write the coordinates of a point which lies on the x-axis and is 5 units to the right of the origin.
Solution:
A point on the x-axis has y-coordinate equal to 0.
Since the point is 5 units to the right of the origin, its x-coordinate is 5.
Therefore, the required coordinates are (5, 0).