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ICSE Class 9 Coordinate Geometry — practice questions

Explore 29 free Coordinate Geometry questions in ICSE Class 9 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Coordinate Geometry questions and exercises with answers

Showing questions 1–29 of 29.

Judge these points and axes claimsRead the answer and worked solution →Sort points into their quadrantsRead the answer and worked solution →In Cartesian co-ordinates, the two perpendicular reference lines are calledRead the answer and worked solution →In an equation written as y = 3 x - 6, the dependent variable isRead the answer and worked solution →The point of intersection of the x-axis and the y-axis is called theRead the answer and worked solution →The co-ordinates of a point are written in the orderRead the answer and worked solution →Express 4 x - 5 y + 20 = 0 with y as the dependent variable.Read the answer and worked solution →The point (3, -2) lies in which quadrant?Read the answer and worked solution →The point (-4, 5) lies onRead the answer and worked solution →Distance between two points (x1, y1) and (x2, y2) is given byRead the answer and worked solution →The distance between (0, 0) and (3, 4) isRead the answer and worked solution →If a point lies on the x-axis, its y-coordinate isRead the answer and worked solution →If a point lies on the y-axis, its x-coordinate isRead the answer and worked solution →The distance between (1, 2) and (4, 6) isRead the answer and worked solution →The mid-point of the segment joining (2, 3) and (6, 7) isRead the answer and worked solution →If a point is reflected in the x-axis, the new co-ordinates of (a, b) becomeRead the answer and worked solution →If a point is reflected in the y-axis, the new co-ordinates of (a, b) becomeRead the answer and worked solution →The point (0, -5) lies onRead the answer and worked solution →If P(2, 3) is shifted 4 units right and 1 unit down, the new co-ordinates areRead the answer and worked solution →The distance of point (5, 0) from the origin isRead the answer and worked solution →The point P(-3, -4) lies inRead the answer and worked solution →The mid-point of the segment joining (-2, -3) and (4, 5) isRead the answer and worked solution →Match the graph wordsRead the answer and worked solution →Which axis is itRead the answer and worked solution →Read the pointRead the answer and worked solution →The graph sentenceRead the answer and worked solution →Graph facts, true or falseRead the answer and worked solution →Quick graph picksRead the answer and worked solution →Plot a linear graphRead the answer and worked solution →

Worked practice questions

Judge these points and axes claims

Read exercise and reference answers
Questions
  1. Statement is true
    Yes
    Statement
    The origin has coordinates (0, 0).
  2. Statement is true
    Yes
    Statement
    The x-axis is the horizontal line y = 0.
  3. Statement is true
    No
    Statement
    Point (3, −2) lies in the second quadrant.
  4. Statement is true
    Yes
    Statement
    Distance between (0,0) and (3,4) is 5.
Instructions
Read each line about coordinates, axes and distance, then tap true or false.

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Sort points into their quadrants

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Items
  1. Item
    (3, 4)
    Answer
    left
  2. Item
    (1, 7)
    Answer
    left
  3. Item
    (8, 2)
    Answer
    left
  4. Item
    (−2, −5)
    Answer
    right
  5. Item
    (−4, −1)
    Answer
    right
  6. Item
    (−6, −3)
    Answer
    right
Categories
Left
Quadrant I (x+, y+)
Right
Quadrant III (x−, y−)
Instructions
Swipe each point left for Quadrant I (x+, y+) or right for Quadrant III (x−, y−).

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In Cartesian co-ordinates, the two perpendicular reference lines are called

  1. x-axis and y-axis
  2. Number line and origin only
  3. Vertical line and slope only
  4. Slope and intercept only
Show answer and solution

Correct answer: A. x-axis and y-axis

1. Section 26.1 introduces co-ordinate geometry. 2. A point is located using two perpendicular number lines. 3. These lines are the x-axis (horizontal) and y-axis (vertical). 4. So option A is correct. _Source: Selina Concise Mathematics Class 9, Ch 26 Co-ordinate Geometry (Mistral OCR'd PDF), section 26.1_

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