NCERT MCQ Solutions for Class 9 Maths Chapter 3 Coordinate Geometry

Understanding the Given Point (-4, -3)
A point in the coordinate system is represented as (x,y), where: 
The first value represents the x-coordinate.
The second value represents the y-coordinate.
Given Point (-4, -3)
x = -4 (first value)
y = -3(second value)
Final Answer: x = -4, y = -3.

Understanding the Ordinate of Points on the X-Axis
In a coordinate plane:
The abscissa is the x-coordinate of a point (x,y).
The ordinate is the y-coordinate of a point (x,y).
Any point on the x-axis has a y-coordinate of 0, meaning its general form is (x,0).
Conclusion:
The ordinate (y-coordinate) of all points on the x-axis is always 0.
The x-coordinate (abscissa) can be any number, but the ordinate remains 0.
Final Answer: 0.

Determining the Quadrant of the Point (-3, -2)
In a coordinate plane, the quadrant of a point (x, y) is determined by the signs of its coordinates:
Quadrant I → (x > 0, y > 0)
Quadrant II → (x < 0, y > 0)

Quadrant III → (x < 0, y < 0) Quadrant IV → (x > 0, y < 0) Given Point: (-3 -2) The x-coordinate is -3 (negative). The y-coordinate is -2 (negative). Since both x and y are negative, the point lies in Quadrant III. Final Answer: Quadrant III.

Determining the Quadrant of Given Points
A point (x, y) lies in a specific quadrant based on the signs of its coordinates:
Quadrant I → (x > 0, y > 0)
Quadrant II → (x < 0, y > 0)
Quadrant III → (x < 0, y < 0) Quadrant IV → (x > 0, y < 0) Analyzing Each Point 1. Point (1 , -2) x = 1 (positive), y = -2 (negative). Lies in Quadrant IV 2. Point (2, -3) x = 2 (positive), y = -3 (negative). Lies in Quadrant IV 3. Point (4, -6) x = 4 (positive), y = -6(negative). Lies in Quadrant IV 4. Point (2, -7) x = 2 (positive), y = -7 (negative). Lies in Quadrant IV Conclusion: All four points lie in Quadrant IV. Final Answer: IV quadrant.

Determining the Position of the Point (0, 4).
A point (x, y) is located based on its coordinates:
If x = 0, the point lies on the y-axis.
If y = 0, the point lies on the x-axis.
If both x and y are nonzero, the point is in a specific quadrant.
Given Point: (0, 4) 
The x-coordinate is 0, meaning the point lies on the y-axis.
The y-coordinate is 4 (positive), confirming its position on the positive y-axis.
Final Answer: y-axis.

In a coordinate plane, the quadrant of a point (x, y) is determined by the signs of its coordinates:
Quadrant I → (x > 0, y > 0)
Quadrant II → (x < 0, y > 0)
Quadrant III → (x < 0, y < 0) Quadrant IV → (x > 0, y < 0) Given Point: (5 -4) The x-coordinate is 5 (positive). The y-coordinate is -4 (negative). Since both x and y are negative, the point lies in Quadrant IV. Final Answer: Quadrant III.

Understanding the Abscissa of Points on the X-Axis
In a coordinate plane: The abscissa is the x-coordinate of a point (x, y).
The ordinate is the y-coordinate of a point (x, y).
Any point on the x-axis has a y-coordinate of 0, meaning its general form is (x, 0).
Conclusion:
The x-coordinate (abscissa) can be any number because points on the x-axis extend infinitely in both directions.
The y-coordinate (ordinate) is always 0 for all points on the x-axis.
Final Answer: Any number.

Understanding the Y-Coordinate of a Point on the X-Axis
In a coordinate plane:
The x-axis consists of all points where the y-coordinate is 0.
Any point on the x-axis is of the form (x,0), where x can be any number.
Conclusion: The y-coordinate of any point on the x-axis is always 0.
Final Answer: 0.

Understanding the Sign of the X-Coordinate in the Third Quadrant
A point (x, y) lies in a specific quadrant based on the signs of its coordinates:
Quadrant I → (x > 0, y > 0)
Quadrant II → (x < 0, y > 0)
Quadrant III → (x < 0, y < 0) Quadrant IV → (x > 0, y < 0) For a Point in the Third Quadrant (III): The x-coordinate is negative (x < 0). The y-coordinate is also negative (y < 0).

Determining the Location of the Point (0, -2)
A point (x, y) is located based on its coordinates:
If x = 0, the point lies on the y-axis.
If y = 0, the point lies on the x-axis.
If both x and y are nonzero, the point is in a specific quadrant.
Given Point: (0, -2)
The x- coordinate is 0, meaning the point lies on the y-axis. 
The y-coordinate is -2, meaning it is in the negative direction of the y-axis.
Final Answer: On the negative direction of the y-axis.