Class 9 CBSE Mathematics — Chapter 1: Orienting Yourself: The Use of Coordinates MCQs with Answers
90 practice questions · 30 Easy · 30 Medium · 30 Hard
Practise the most important Class 9 CBSE Mathematics questions from Chapter 1, "Orienting Yourself: The Use of Coordinates" — 9 separately timed quizzes built from 90 NCERT-aligned multiple-choice questions, with answers and explanations. The set is split into 30 Easy, 30 Medium and 30 Hard, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams and the JEE & NEET foundation years.
"Orienting Yourself: The Use of Coordinates" is a chapter that rewards problem-solving speed, formula recall and step-by-step reasoning. Each MCQ on this chapter is timed and uses exam-grade marking (+4 correct, −1 wrong, 0 skipped), training the accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Orienting Yourself: The Use of Coordinates, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 9 Mathematics mastery score. 14 sample questions are solved in full below — answer and worked explanation — and signing in free opens all 90.
Key concepts: Orienting Yourself: The Use of Coordinates (Class 9 Mathematics)
Coordinates turn geometry into arithmetic: fix two perpendicular number lines and every point in the plane gets a unique address (x, y). Once points have addresses, distance, midpoints, collinearity and the shape of a figure can all be settled by calculation instead of measurement.
- Cartesian plane
- The flat plane formed by two perpendicular number lines — the horizontal x-axis and the vertical y-axis — which together let any point be located exactly.
- Origin
- The point (0, 0) where the two axes cross. All coordinates are measured as displacements from here, so it is the reference point of the whole system.
- Coordinates (ordered pair)
- The pair (x, y) giving a point's address: x is the abscissa (horizontal displacement) and y the ordinate (vertical). The order matters — (3, 5) and (5, 3) are different points.
- Quadrants
- The axes cut the plane into four regions, numbered anticlockwise from the top right, with sign patterns (+, +), (−, +), (−, −) and (+, −). The signs alone tell you the quadrant.
Class 9 Mathematics Orienting Yourself: The Use of Coordinates MCQs with answers
14 solved questions across the difficulty levels this chapter is graded on — answer and explanation shown for each. The remaining 76 are timed and scored when you sign in.
- Q1Easy
In which quadrant does the point (3, 5) lie?
A.Quadrant IIIB.Quadrant IIC.Quadrant I✓ CorrectD.Quadrant IVAnswer: C. Quadrant I
Explanation: A point lies in Quadrant I when both coordinates are positive. Here x=3 and y=5 are both positive, so (3, 5) is in Quadrant I — not Quadrant IV, which needs a negative y.
- Q2Easy
In which quadrant does the point (-4, 2) lie?
A.Quadrant II✓ CorrectB.Quadrant IC.Quadrant IIID.Quadrant IVAnswer: A. Quadrant II
Explanation: Quadrant II needs a negative x paired with a positive y. Here x=-4<0 and y=2>0, so (-4, 2) sits in Quadrant II, not Quadrant I, which needs x positive too.
- Q3Easy
In which quadrant does the point (-6, -1) lie?
A.Quadrant IB.Quadrant III✓ CorrectC.Quadrant IID.Quadrant IVAnswer: B. Quadrant III
Explanation: Quadrant III needs both coordinates negative. Here x=-6<0 and y=-1<0, so (-6, -1) lies in Quadrant III — not Quadrant IV, which requires x to be positive.
- Q4Easy
In which quadrant does the point (7, -3) lie?
A.Quadrant IV✓ CorrectB.Quadrant IIC.Quadrant IIID.Quadrant IAnswer: A. Quadrant IV
Explanation: Quadrant IV needs a positive x with a negative y. Here x=7>0 and y=-3<0, so (7, -3) lies in Quadrant IV, not Quadrant II, which needs x negative instead.
- Q5Easy
In which quadrant does the point (-2, 8) lie?
A.Quadrant IIIB.Quadrant IC.Quadrant II✓ CorrectD.Quadrant IVAnswer: C. Quadrant II
Explanation: Quadrant II needs a negative x paired with a positive y. Here x=-2<0 and y=8>0, so (-2, 8) lies in Quadrant II, not Quadrant III, which would also need y negative.
- Q6Easy
In which quadrant does the point (9, 4) lie?
A.Quadrant IIB.Quadrant IVC.Quadrant IIID.Quadrant I✓ CorrectAnswer: D. Quadrant I
Explanation: Quadrant I needs both coordinates positive. Here x=9>0 and y=4>0, so (9, 4) lies in Quadrant I — not Quadrant II, which needs a negative x.
- Q7Medium
Find the distance between the points (-3, -1) and (7, 23).
A.26 units✓ CorrectB.27 unitsC.34 unitsD.√678 unitsAnswer: A. 26 units
Explanation: Distance = √((7--3)²+(23--1)²) = √(10²+24²) = √676 = 26 units. Adding the two gaps instead, 10+24=34, gives the path along the legs, not the diagonal distance.
- Q8Medium
Find the distance between the points (1, 1) and (4, 5).
A.7 unitsB.6 unitsC.5 units✓ CorrectD.√27 unitsAnswer: C. 5 units
Explanation: Distance = √((4-1)²+(5-1)²) = √(3²+4²) = √25 = 5 units. Adding the gaps instead, 3+4=7, gives the path along the legs, not the diagonal distance.
- Q9Medium
Find the distance between the points (1, 1) and (10, 13).
A.15 units✓ CorrectB.21 unitsC.16 unitsD.√227 unitsAnswer: A. 15 units
Explanation: Distance = √((10-1)²+(13-1)²) = √(9²+12²) = √225 = 15 units. Adding the gaps instead, 9+12=21, gives the path along the legs, not the diagonal distance.
- Q10Medium
Find the distance between the points (1, 1) and (13, 17).
A.28 unitsB.20 units✓ CorrectC.21 unitsD.√402 unitsAnswer: B. 20 units
Explanation: Distance = √((13-1)²+(17-1)²) = √(12²+16²) = √400 = 20 units. Adding the gaps instead, 12+16=28, gives the path along the legs, not the diagonal distance.
- Q11Medium
Find the distance between the points (-3, -1) and (2, 11).
A.17 unitsB.14 unitsC.13 units✓ CorrectD.√171 unitsAnswer: C. 13 units
Explanation: Distance = √((2--3)²+(11--1)²) = √(5²+12²) = √169 = 13 units. Adding the gaps instead, 5+12=17, gives the path along the legs, not the diagonal distance.
- Q12Hard
Classify the triangle with vertices (0, 0), (4, 0) and (0, 3) by its sides.
A.equilateralB.isoscelesC.scalene✓ CorrectD.right-angled at all verticesAnswer: C. scalene
Explanation: Computing each side with the distance formula gives lengths 4, 5 and 3 — all different, so the triangle is scalene. A triangle can have only one right angle at most, so 'right-angled at all vertices' is never valid.
- Q13Hard
Classify the triangle with vertices (0, 0), (6, 0) and (3, 4) by its sides.
A.scaleneB.isosceles✓ CorrectC.equilateralD.right-angled at all verticesAnswer: B. isosceles
Explanation: Computing each side with the distance formula gives lengths 6, 5 and 5 — two sides equal, so the triangle is isosceles, not equilateral, since the third side (6) differs from the other two.
- Q14Hard
Classify the triangle with vertices (1, 1), (5, 1) and (3, 5) by its sides.
A.isosceles✓ CorrectB.equilateralC.scaleneD.right-angled at all verticesAnswer: A. isosceles
Explanation: Computing each side with the distance formula gives lengths 4, √20≈4.47 and √20≈4.47 — two sides equal, so the triangle is isosceles, not scalene, since two of the three lengths coincide exactly.
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Start this chapter free →Orienting Yourself: The Use of Coordinates — FAQs
What are the key concepts in Class 9 Mathematics Orienting Yourself: The Use of Coordinates?+
Coordinates turn geometry into arithmetic: fix two perpendicular number lines and every point in the plane gets a unique address (x, y). Once points have addresses, distance, midpoints, collinearity and the shape of a figure can all be settled by calculation instead of measurement. Key ideas include Cartesian plane, Origin, Coordinates (ordered pair), Quadrants.
What does Class 9 Mathematics Chapter 1 (Orienting Yourself: The Use of Coordinates) cover on XamBaaz?+
It covers 90 NCERT-aligned MCQs on "Orienting Yourself: The Use of Coordinates" — 30 Easy, 30 Medium and 30 Hard — making 9 separately timed quizzes you can sit without ever repeating the same set, each with an instant explanation, suitable for CBSE Board exams and the JEE & NEET foundation years.
Are these "Orienting Yourself: The Use of Coordinates" questions free to practise?+
Yes — sign in with Google to practise "Orienting Yourself: The Use of Coordinates" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Orienting Yourself: The Use of Coordinates" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. There are 9 separately timed quizzes on this chapter, so you can come back and get a fresh set rather than re-sitting one you have seen. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
Are these "Orienting Yourself: The Use of Coordinates" MCQs available with answers?+
Yes. 14 sample questions are shown here in full, each with the correct option and a step-by-step "Why" explanation. Sign in free with Google to practise all 90 questions with instant scoring.
Is there negative marking in the "Orienting Yourself: The Use of Coordinates" quizzes?+
Yes — the timed quizzes use exam-grade marking: +4 for a correct answer, −1 for a wrong one and 0 for a skipped question. Note that MHT-CET and the CBSE board papers themselves carry no negative marking — our mocks for those are scored their way, not this way.
Are these important questions for Orienting Yourself: The Use of Coordinates?+
The set is curated to the NCERT syllabus and weighted toward the question patterns that actually appear in CBSE Board exams and the JEE & NEET foundation years, across Easy, Medium and Hard — so it doubles as an "important questions" revision list for "Orienting Yourself: The Use of Coordinates".