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Coordinate Geometry for shs

Quiz by George Osafo

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20 questions
Show answers
  • Q1
    What is the equation of the straight line through the points A(2, 1) and B(5, 3)?
    y = 2x - 3
    y = -x + 4
    y = 3x - 2
    y = x + 2
    30s
  • Q2
    Does the point A(0, -1) lie on the line with equation x + y = 3?
    True
    False
    30s
  • Q3
    Find the standard equation of the circle with center at (-2, 5) and radius √7.
    (x + 2)^2 + (y - 5)^2 = 7
    (x - 2)^2 + (y + 5)^2 = 7
    (x + 2)^2 + (y - 5)^2 = 49
    (x - 2)^2 + (y + 5)^2 = 49
    30s
  • Q4
    What is the equation of a line that passes through the points A(2, 1) and B(5, 7)?
    y = 2x - 3
    y = 3x - 2
    y = x - 4
    y = x + 1
    30s
  • Q5
    What is the standard equation for the circle with center at (-2, 5) and radius √7?
    (x + 2)^2 + (y - 5)^2 = 7
    x^2 + y + 6 = 0
    x^2 + y^2 = 25
    (x - 2)^2 + (y + 1)^2 = 4
    30s
  • Q6
    What is the equation of the straight line through the points A(2, 1) and B(1, 2)?
    y = 3x - 2
    y = -x + 3
    y = 2x - 3
    y = x + 3
    30s
  • Q7
    For the circle with equation x^2 + y^2 - 4x + 2y + 1 = 0, what are the center coordinates and radius?
    Center (0, 0), Radius 1
    Center (2, 3), Radius 3
    Center (4, -2), Radius 4
    Center (-2, 1), Radius 2
    30s
  • Q8
    What is the gradient of the line joining the points (-2, 3) and (5, -4)?
    -1
    1
    0
    Infinity
    30s
  • Q9
    Find the equation of a circle with center (5, 3) passing through the point (2, -1).
    (x + 3)^2 + (y - 2)^2 = 5
    (x - 2)^2 + (y + 1)^2 = 4
    (x - 5)^2 + (y - 3)^2 = 6
    (x + 5)^2 + (y - 4)^2 = 13
    30s
  • Q10
    Check if the points A(1, 1), B(5, 4), and C(3, 2) are on the same line.
    No
    Some points are on the line
    Cannot be determined
    Yes
    30s
  • Q11
    Find the equation of the straight line through the points A(5, 7) and B(5, -5).
    x = 7
    y = 5
    y = 7
    x = 5
    30s
  • Q12
    Determine whether the points A, B, C are on the same line: A(2, 1), B(-8, -1), C(-3, 0).
    False
    True
    30s
  • Q13
    Find the center and radius of the circle x^2 + y^2 - 4x + 2y + 1 = 0.
    C(-3, 1), R = 3
    C(1, -3), R = 2
    C(3, -1), R = 3
    C(-1, 3), R = 5
    30s
  • Q14
    What is the equation for the line passing through points A(2, 1) and B(5, 7)?
    y = 3x - 2
    y = x + 2
    y = -2x + 3
    y = 2x - 3
    30s
  • Q15
    Does the point A(0, 2) lie on the line with equation y = 2x + 1?
    False
    True
    30s

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