Cartesian System Quiz - CBSE Class 9 Mathematics

Free practice quiz: Cartesian System (CBSE Class 9 Mathematics). 20 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. What is the Cartesian plane?

   1. A plane divided by two lines
   2. A spherical surface
   3. A line segment
   4. A triangle
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   Answer: A. A plane divided by two lines

   The Cartesian plane is a plane defined by two perpendicular axes, the x-axis and the y-axis.

2. In which quadrant is the point (-3, 4) located?

   1. First quadrant
   2. Second quadrant
   3. Third quadrant
   4. Fourth quadrant
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   Answer: B. Second quadrant

   Points with negative x-coordinates and positive y-coordinates are located in the second quadrant.

3. How do the signs of x and y change when moving from the first quadrant to the second quadrant?

   1. x becomes negative, y remains positive
   2. x remains positive, y becomes negative
   3. Both x and y become negative
   4. Both x and y remain positive
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   Answer: A. x becomes negative, y remains positive

   In the second quadrant, x-values are negative while y-values remain positive.

4. How far is the point (5,5) from the origin in the Cartesian plane?

   1. 5 units
   2. √50 units
   3. 10 units
   4. 25 units
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   Answer: B. √50 units

   The distance from the origin is calculated using the distance formula, √((5-0)² + (5-0)²) = √50.

5. What is the reflection of the point (4,5) over the y-axis?

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

   Reflecting over the y-axis changes the x-coordinate's sign while keeping the y-coordinate unchanged.

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