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CBSE Maths · Class 9

Chapter 3: Coordinate Geometry

Name: ________________________
Date: ______________
Marks: ____ / 10

Cartesian coordinate system, quadrants, plotting points.

Questions

  1. Where does (0,4)(0, -4) lie?
  2. Plot (2,3)(2, 3) and (2,3)(-2, 3); observation?
  3. Distance of (7,24)(7, 24) from origin.
  4. A point on xx-axis at distance 55 from origin.
  5. Both coordinates negative — which quadrant?
  6. Distance between (1,2)(1, 2) and (4,6)(4, 6).
  7. Reflection of (3,4)(3, -4) across origin.
  8. Coordinates of a point 44 units below the xx-axis and on the yy-axis.
  9. Which axis does (5,0)(5, 0) lie on?
  10. Perpendicular distance of (3,4)(-3, 4) from the xx-axis.

Extra Practice (Optional)

  • Plot (3,2),(1,1),(0,4)(3, -2), (-1, -1), (0, 4).
  • Find the point equidistant from both axes in Q-I with distance 33.
  • Distance of (6,8)(-6, 8) from origin.
  • Reflection of (5,2)(-5, 2) across the xx-axis.
  • Coordinates of the origin.

Answer Key (For Teachers)

  1. Answer: Neg yy-axis.
    Working: On yy-axis.
  2. Answer: Equidistant from yy-axis.
    Working: Mirror images across yy-axis.
  3. Answer: 2525.
    Working: 49+576\sqrt{49+576}.
  4. Answer: (±5,0)(\pm 5, 0).
    Working: y=0y = 0; x=5|x| = 5.
  5. Answer: III.
    Working: Q-III.
  6. Answer: 55.
    Working: 9+16\sqrt{9+16}.
  7. Answer: (3,4)(-3, 4).
    Working: Flip both: (3,4)(-3, 4).
  8. Answer: (0,4)(0, -4).
    Working: On yy-axis x=0\Rightarrow x = 0; y=4y = -4.
  9. Answer: xx-axis.
    Working: y=0y = 0.
  10. Answer: 44.
    Working: y|y|.
Gyaan Maths · CBSE Class 9 · Chapter 3
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026