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Coordinate Geometry Practice Questions

Class 9 · Mathematics · 2969 free MCQs with instant results and detailed explanations.

2969
Total
1031
Easy
1420
Medium
518
Hard

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Topics in Coordinate Geometry

Cartesian Plane 1446
Quadrants 805
Plotting Points 718

Sample Questions from Coordinate Geometry

Here are 10 sample questions. Start a quiz to get randomized questions with scoring.

Q1
Easy
What are the coordinates of the origin in the Cartesian plane?
A. (0, 0)
B. (1, 1)
C. (0, 1)
D. (1, 0)
Show Answer & Explanation
Correct Answer: A
The origin is defined as the point where both x and y coordinates are zero, hence (0, 0).
Q2
Easy
In which quadrant do the coordinates (3, -2) lie?
A. Quadrant I
B. Quadrant II
C. Quadrant III
D. Quadrant IV
Show Answer & Explanation
Correct Answer: D
Coordinates with a positive x-value and a negative y-value lie in Quadrant IV.
Q3
Easy
What is the distance between the points (1, 2) and (4, 6)?
A. 5 units
B. 8 units
C. 10 units
D. 3 units
Show Answer & Explanation
Correct Answer: A
Using the distance formula √[(x2 - x1)² + (y2 - y1)²] gives √[(4-1)² + (6-2)²] = √[9 + 16] = √25 = 5.
Q4
Medium
What are the coordinates of a point that lies on the x-axis and is 5 units away from the origin?
A. (5, 0)
B. (0, 5)
C. (5, 5)
D. (0, 0)
Show Answer & Explanation
Correct Answer: A
Points on the x-axis have a y-coordinate of 0. Therefore, (5, 0) is 5 units from the origin.
Q5
Medium
Which of the following points lies in the second quadrant?
A. (−3, 4)
B. (3, −4)
C. (−3, −4)
D. (4, 3)
Show Answer & Explanation
Correct Answer: A
The second quadrant consists of points where x is negative and y is positive, fitting the coordinates (−3, 4).
Q6
Medium
If point C(3, 7) is reflected over the y-axis, what are the coordinates of the reflected point?
A. (-3, 7)
B. (3, -7)
C. (-7, 3)
D. (7, 3)
Show Answer & Explanation
Correct Answer: A
Reflection over the y-axis changes the sign of the x-coordinate, resulting in (-3, 7).
Q7
Medium
Which is the distance between points P(1, 2) and Q(4, 6)?
A. 5
B. 3
C. 4
D. 7
Show Answer & Explanation
Correct Answer: A
The distance formula is √[(x2 - x1)² + (y2 - y1)²]. Applying (4 - 1)² + (6 - 2)² gives a distance of 5.
Q8
Hard
What is the distance between the points A(3, 4) and B(-1, -2)?
A. 6 units
B. 5 units
C. 7 units
D. 4 units
Show Answer & Explanation
Correct Answer: A
The distance between two points (x1, y1) and (x2, y2) is calculated using the formula √((x2 - x1)² + (y2 - y1)²). Here, the distance is √((-1 - 3)² + (-2 - 4)²) = √(16 + 36) = √52 = 6.
Q9
Hard
In which quadrant does the point (-4, 5) lie?
A. Quadrant I
B. Quadrant II
C. Quadrant III
D. Quadrant IV
Show Answer & Explanation
Correct Answer: B
A point is in Quadrant II if its x-coordinate is negative and its y-coordinate is positive. Here, (-4, 5) has a negative x and a positive y, placing it in Quadrant II.
Q10
Hard
What is the equation of the line that is perpendicular to the line 4x - y = 2 and passes through the point (2,3)?
A. y = 1/4 x + 5/4
B. y = -4x + 11
C. y = 4x - 5
D. y = -1/4 x + 5/2
Show Answer & Explanation
Correct Answer: D
The slope of the line 4x - y = 2 is 4. A perpendicular line has a slope that is the negative reciprocal, which gives -1/4. Using point-slope form, the equation is derived to be y = -1/4 x + 5/2.

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Coordinate Geometry — Class 9 Mathematics Practice Questions Online

This page contains 2969 practice MCQs for the chapter Coordinate Geometry in Class 9 Mathematics. The questions are organized by difficulty — 1031 easy, 1420 medium, 518 hard — so you can choose the right level for your preparation.

Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit. This chapter covers 3 topics, giving you comprehensive coverage of the entire chapter.