Coordinate Geometry — Important Questions
Gujarat Board · Class 9 · Mathematics
45 important questions from Coordinate Geometry for Gujarat Board Class 9 Mathematics, with answers. Includes multiple choice, multiple correct and text.
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Important Questions from Coordinate Geometry
Which of the following points lie in Quadrant II? (Select all correct answers)
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(-2, 3), (-1, 7), (-5, 1)
Quadrant II contains points with negative x-coordinates and positive y-coordinates (-, +). Checking each option: (-2, 3) ✓, (4, 5) is in Q1, (-1, 7) ✓, (3, -2) is in Q4, (-5, 1) ✓.
Find the distance of point A(0, -6) from the x-axis.
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6 units
Distance from x-axis is the absolute value of the y-coordinate. Point A(0, -6) has y-coordinate = -6. Distance = |-6| = 6 units.
Which of the following statements are true about points on the y-axis? (Select all correct answers)
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Their x-coordinate is always 0, They have the form (0, y), Their distance from y-axis is 0
Points on y-axis: (1) Have x-coordinate = 0 ✓, (2) y-coordinate can be any value ✗, (3) Form is (0, y) ✓, (4) Don't lie in any quadrant ✗, (5) Distance from y-axis = 0 ✓.
Point P is 4 units away from the y-axis in the negative direction and 3 units away from the x-axis in the positive direction. Find the coordinates of P.
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(-4, 3)
Distance from y-axis in negative direction means x-coordinate = -4. Distance from x-axis in positive direction means y-coordinate = +3. Therefore, coordinates are (-4, 3).
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