Coordinate Geometry Quiz - CBSE Class 10 Mathematics

Free practice quiz: Coordinate Geometry (CBSE Class 10 Mathematics). 18 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. What is the distance between the points (3,4) and (0,0)?

   1. 5
   2. 7
   3. 9
   4. 10
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   Answer: A. 5

   The distance between two points (x1, y1) and (x2, y2) is √((x2-x1)² + (y2-y1)²). Applying to points (3,4) and (0,0), we get √((3-0)² + (4-0)²) = √(9+16) = √25 = 5.

2. If a line passes through (3,2) with slope 0, what is the equation of the line?

   1. y = 2
   2. x = 3
   3. y = 3
   4. y = x + 2
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   Answer: A. y = 2

   A line with slope 0 is horizontal. It maintains the same y-value throughout, which is 2 at (3,2). Hence, the equation is y = 2.

3. In which quadrant does the point (-3,-4) lie?

   1. I
   2. II
   3. III
   4. IV
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   Answer: C. III

   The point (-3,-4) lies in the third quadrant, where both x and y coordinates are negative.

4. Which of the following points does NOT lie on the line y = 2x + 1?

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

   Substitute x values into the line equation y = 2x + 1 and derive y. For (3, 5), y should be 7 to lie on the line, not 5.

5. Evaluate the equation of a line perpendicular to 2x - 3y = 7, passing through (4, -2).

   1. 3x + 2y = 8
   2. 3x + 2y = 10
   3. 2x + 3y = 10
   4. x - y = 6
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   Answer: B. 3x + 2y = 10

   The perpendicular slope would be reciprocal negative (3/2) of given equation slope (-2/3). Therefore, form y + 2 = 3/2(x - 4) leads to final eq 3x + 2y = 10.

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