Orienting Yourself : The Use of Coordinates
CBSE · Class 9 · Mathematics
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Quick Quiz: Orienting Yourself : The Use of Coordinates
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A point A is at (3, 4) and a point D is at (7, 1). Find the distance AD using the coordinate formula.
A point D is at (7, 1) and a point M is at (5, 6). Find the distance DM.
A point M is at (5, 6) and a point A is at (-1, 4). Find the distance MA.
A point A is at (3, 4) and it is reflected in the y-axis. Find the distance between the reflected points D' = (-7, 1) and M' = (-5, 6).
Sample Questions
In a coordinate plane, a point B is at (4.5, 0), a point G is at (0, -4.5), and a point H is at (0, 4). Which statements about these points are correct?
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B lies on the x-axis,G lies on the y-axis below the origin,H lies on the y-axis above the origin
B has y-coordinate 0, so it lies on the x-axis. G has x-coordinate 0 and negative y, so it lies on the y-axis below the origin. H has x-coordinate 0 and positive y, so it lies on the y-axis above the origin.
A point S is at (3, -5) and a point Q is at (-5, 3). Which statements about their quadrants are correct?
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S lies in Quadrant IV,Q lies in Quadrant II
S = (3, -5) has positive x and negative y, so it is in Quadrant IV. Q = (-5, 3) has negative x and positive y, so it is in Quadrant II.
In the coordinate plane, which statements about the coordinates of a point are correct?
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The x-coordinate is the perpendicular distance from the y-axis measured along the x-axis,The y-coordinate is the perpendicular distance from the x-axis measured along the y-axis
For a point (x, y), x measures the perpendicular distance from the y-axis along the x-axis, and y measures the perpendicular distance from the x-axis along the y-axis.
A point P has coordinates (x, 0). Which statements about P are correct?
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P lies on the x-axis,If x is positive, P lies to the right of the origin
A point of the form (x, 0) lies on the x-axis. Positive x means right of the origin; negative x means left of the origin.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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