Coordinate Geometry — Important Questions

3

Step 1: In coordinate notation (x, y), the second value represents the y-coordinate or ordinate. Step 2: For point (-8, 3), the second value is 3. Step 3: The y-coordinate represents the perpendicular distance from x-axis. Step 4: Therefore, the y-coordinate (ordinate) of point (-8, 3) is 3.

Third quadrant

Step 1: Identify sign patterns for each quadrant. Step 2: First quadrant: (+, +), Second quadrant: (-, +), Third quadrant: (-, -), Fourth quadrant: (+, -). Step 3: We need both x and y coordinates to be negative. Step 4: Only third quadrant has sign pattern (-, -) where both coordinates are negative. Therefore, third quadrant has all points with both coordinates negative.

Negative y-axis

Step 1: Point has coordinates (0, -5) where x-coordinate is 0 and y-coordinate is -5. Step 2: When x-coordinate is 0, the point lies on the y-axis. Step 3: Since y-coordinate is -5 (negative), the point is at distance 5 units below the origin. Step 4: This means the point lies on the negative y-axis. Therefore, point (0, -5) lies on the negative y-axis.

4 units

Step 1: The x-coordinate of a point represents its perpendicular distance from the y-axis. Step 2: For point (4, 0), the x-coordinate is 4. Step 3: Distance is always positive, so we take absolute value. Step 4: |4| = 4 units. Therefore, the distance of point (4, 0) from the y-axis is 4 units.