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Practice Class 9 Maths Chapter 3 Coordinate Geometry MCQ Questions with Answers based on the latest NCERT syllabus. Solve moderately difficult NCERT-based MCQs on coordinate geometry, quadrants, axes, ordered pairs, reflection, and plotting points with detailed solutions for CBSE and state board exams.
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Chapter Information
Subject: Mathematics
Class: 9
Chapter: Coordinate Geometry
Question Type: Multiple Choice Questions (MCQs)
Difficulty Level: Moderate
Based On: NCERT Latest Syllabus
Introduction:
Coordinate Geometry enables students to represent and analyze points on a Cartesian plane using ordered pairs. In addition to understanding axes and quadrants, students learn how the signs of coordinates determine the position of a point. This chapter is the foundation for graph-based mathematics and analytical geometry studied in higher classes.
What You Will Learn?
✔ Cartesian Coordinate Plane
✔ Ordered Pairs
✔ Coordinates of Points
✔ Identifying Quadrants
✔ Points on Coordinate Axes
✔ Reflection of Points
✔ Sign Convention of Coordinates
✔ NCERT & Board Exam Concepts
Why This Topic Is Important?
Coordinate Geometry strengthens logical reasoning and visualization skills. It helps students solve graphical problems accurately and prepares them for higher-level mathematics involving graphs, equations, and transformations.
Exam Relevance
These questions are useful for:
✔ CBSE School Exams
✔ State Board Exams
✔ Unit Tests
✔ Half-Yearly Exams
✔ Annual Exams
✔ Olympiad & Scholarship Exams
Q1. If the point
$$(-8,5)$$
is reflected in the y-axis, the new coordinates will be:
A)
$$(-8,-5)$$
B)
$$(8,5)$$
C)
$$(8,-5)$$
D)
$$(-5,8)$$
Answer:
$$(8,5)$$
Useful Formula for this Question:
Reflection in the y-axis changes
$$(x,y)\rightarrow(-x,y)$$
Solution:
Given point
$$(-8,5)$$
Reflection in the y-axis changes only the sign of the x-coordinate.
Therefore,
$$(-8,5)\rightarrow(8,5)$$
Hence, the correct answer is
$$(8,5)$$
Q2. Which of the following points is equidistant from both coordinate axes?
A)
$$(6,6)$$
B)
$$(4,8)$$
C)
$$(-3,7)$$
D)
$$(5,-2)$$
Answer:
$$(6,6)$$
Useful Formula for this Question:
A point is equidistant from both axes if
$$|x|=|y|$$
Solution:
For the point
$$(6,6)$$
Distance from the y-axis
$$=|6|=6$$
Distance from the x-axis
$$=|6|=6$$
Both distances are equal.
Hence, the correct answer is
$$(6,6)$$
Q3. The point
$$(-7,9)$$
is located:
A) 7 units right and 9 units up
B) 7 units left and 9 units up
C) 7 units left and 9 units down
D) 7 units right and 9 units down
Answer:
7 units left and 9 units up
Useful Formula for this Question:
- Negative x → Left
- Positive y → Up
Solution:
For
$$(-7,9)$$
the x-coordinate is negative, so move 7 units left.
The y-coordinate is positive, so move 9 units up.
Hence, the correct answer is:
7 units left and 9 units up
Q4. Which of the following points lies neither on any axis nor at the origin?
A)
$$(0,-9)$$
B)
$$(5,0)$$
C)
$$(0,0)$$
D)
$$(-6,4)$$
Answer:
$$(-6,4)$$
Useful Formula for this Question:
If
$$x\neq0$$
and
$$y\neq0$$
the point lies inside a quadrant.
Solution:
The point
$$(-6,4)$$
has both coordinates non-zero.
Therefore, it lies inside the Second Quadrant and not on any axis.
Hence, the correct answer is
$$(-6,4)$$
Q5. If a point has a negative x-coordinate and its distance from the x-axis is 12 units, which of the following points is possible?
A)
$$(-5,12)$$
B)
$$(5,12)$$
C)
$$(-12,5)$$
D)
$$(12,-5)$$
Answer:
$$(-5,12)$$
Useful Formula for this Question:
Distance from the x-axis is
$$|y|$$
Solution:
The distance from the x-axis is equal to the absolute value of the y-coordinate.
For
$$(-5,12)$$
- x-coordinate is negative ✔
- Distance from x-axis
$$=|12|=12$$
Therefore, it satisfies both conditions.
Hence, the correct answer is
$$(-5,12)$$
Important Formulas and Concepts
Ordered Pair
$$(x,y)$$
Origin
$$(0,0)$$
Distance from X-axis
$$|y|$$
Distance from Y-axis
$$|x|$$
Reflection in X-axis
$$(x,y)\rightarrow(x,-y)$$
Reflection in Y-axis
$$(x,y)\rightarrow(-x,y)$$
Signs of Coordinates
First Quadrant
$$(+,+)$$
Second Quadrant
$$(-,+)$$
Third Quadrant
$$(-,-)$$
Fourth Quadrant
$$(+,-)$$
FAQs
Q. How do you find the distance of a point from the x-axis?
Answer:
The distance of a point from the x-axis is the absolute value of its y-coordinate.
$$|y|$$
Q. What happens when a point is reflected in the y-axis?
Answer:
Only the sign of the x-coordinate changes.
$$(x,y)\rightarrow(-x,y)$$
Q. Can two different points be equally distant from the x-axis?
Answer:
Yes. Any two points having the same absolute value of the y-coordinate are equally distant from the x-axis.
Common Mistakes Students Make
❌ Confusing reflection in the x-axis with reflection in the y-axis.
❌ Forgetting to use absolute values while finding distances from axes.
❌ Incorrectly identifying the direction of negative coordinates.
❌ Assuming points on the axes belong to quadrants.
❌ Ignoring the signs of coordinates while solving questions.
Quick Revision Notes
✔ Distance from x-axis
$$=|y|$$
✔ Distance from y-axis
$$=|x|$$
✔ Reflection in x-axis
$$(x,y)\rightarrow(x,-y)$$
✔ Reflection in y-axis
$$(x,y)\rightarrow(-x,y)$$
✔ Origin
$$(0,0)$$
✔ Points on axes are not part of any quadrant.
Conclusion:
These Class 9 Maths Chapter 3 Coordinate Geometry MCQ Questions with Answers and Solutions –are designed according to the latest NCERT syllabus and feature moderately difficult, concept-based, and non-repeated questions. Practising these MCQs will strengthen students’ understanding of reflections, distances from coordinate axes, quadrants, and coordinate geometry concepts, helping them excel in CBSE exams, state board examinations, school tests, Olympiads, and scholarship exams.
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