Point and Line Quiz - ICSE Class 6 Mathematics

Free practice quiz: Point and Line (ICSE Class 6 Mathematics). 53 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. In a coordinate plane, if a point P has coordinates (3, -5), what is the perpendicular distance of P from the y-axis?

   1. 3 units
   2. 5 units
   3. -5 units
   4. 8 units
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   Answer: A. 3 units

   The perpendicular distance of a point (x, y) from the y-axis is the absolute value of its x-coordinate. For the point (3, -5), the x-coordinate is 3, so the distance is |3| = 3 units.

2. Which point does NOT lie on the line y = -x?

   1. (5, -5)
   2. (-3, 3)
   3. (0, 0)
   4. (2, 2)
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   Answer: D. (2, 2)

   A point (x, y) lies on the line y = -x if its y-coordinate is the negative of its x-coordinate. For (2, 2), the y-coordinate (2) is not the negative of the x-coordinate (2).

3. Point A is at (1, 1). Point B is at (1, 6). What is the length of the line segment AB?

   1. 5 units
   2. 6 units
   3. 7 units
   4. 1 unit
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   Answer: A. 5 units

   Since the x-coordinates are the same, it's a vertical segment. The length is the absolute difference of the y-coordinates: |6 - 1| = 5 units.

4. If a point lies on the x-axis, its y-coordinate is always:

   1. Positive
   2. Negative
   3. Zero
   4. One
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   Answer: C. Zero

   The x-axis is the horizontal line where all points have a y-coordinate of 0.

5. What is the x-coordinate of a point that lies on the line x = 7?

   1. 7
   2. Any real number
   3. 0
   4. Cannot be determined
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   Answer: A. 7

   The equation x = 7 defines a vertical line where all points have an x-coordinate of 7, irrespective of their y-coordinate.

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