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Gr 10 Coordinate Geometry

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  • The distance of the point (4, -3 ) from origin is
    5
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  • The distance between the point P(1, 4) and Q(4, 0) is
    5
  •  10
  • The distance of the point P(2, 3) from the x-axis is
    3
  •  10
  • The points (-5, 1), (1, p) and (4, -2) are collinear if the value of p is
    -1
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  • If the points P(1, 2), B(0, 0) and C(a, b) are collinear, then
    2a=b
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  • If the segment joining the points (a, b) and (c, d) subtends a right angle at the origin, then
    ac + bd = 0
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  • Find the distance of the point (–6, 8) from the origin.
    10
  •  10
  • Find the value of k if the points A(2, 3), B(4, k) and C(6, –3) are collinear.
    0
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  • The midpoints of a line segment joining two points A(2, 4) and B(-2, -4)
    (0, 0)
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  • If O(p/3, 4) is the midpoint of the line segment joining the points P(-6, 5) and Q(-2, 3). The value of p is:
    -12
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  • The points which divides the line segment of points P(-1, 7) and (4, -3) in the ratio of 2:3 is:
    (1, 3)
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  • The ratio in which the line segment joining the points P(-3, 10) and Q(6, – 8) is divided by O(-1, 6) is:
    2:7
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  • The coordinates of a point P, where PQ is the diameter of circle whose centre is (2, – 3) and Q is (1, 4) is:
    (3, -10)
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  • On a graph, two-line segments, AB and CD of equal length are drawn. Which of these could be the coordinates of the points, A, B, C and D?
    A(-3,4) B(-1,2) and C(3,4) D(1,2)
  •  10
  • On a coordinate grid, the location of a bank is (–4, 8) and the location of a post office is (2, 0). The scale used is 1 unit = 50 m. What is the shortest possible distance between the bank and the post office?
    500 m
  •  10