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Orienting Yourself: The Use of Coordinates — Class 9 MCQs with Answers

Class 9 CBSE Mathematics · Chapter 1

90 practice questions · 30 Easy · 30 Medium · 30 Hard · Updated

Practise the most important Class 9 CBSE Mathematics questions from Chapter 1, "Orienting Yourself: The Use of Coordinates". You get 9 timed quizzes made from 90 NCERT-based MCQs, with answers and explanations. The questions are split into 30 Easy, 30 Medium and 30 Hard. Warm up on the basics, then move on to the exam-level questions that top scorers in CBSE Board exams and the JEE & NEET foundation years get right.

To score well in "Orienting Yourself: The Use of Coordinates", focus on fast problem-solving, formula recall and step-by-step working. Each MCQ here is timed and uses exam-style marking (+4 correct, −1 wrong, 0 skipped). This helps you stay accurate when time is short, just as real papers need. Every question has a short explanation, so a wrong answer becomes a quick lesson. It is the fastest way to fix gaps before a test.

Use this chapter for focused revision. Start with the Easy set to check your basics on Orienting Yourself: The Use of Coordinates, then move to Medium and Hard to practise applying them. Your accuracy, streaks and XP save automatically. This chapter also adds to your overall Class 9 Mathematics mastery score. Try the 6 sample questions below: tap an option to see the answer and a worked explanation. Sign in free to start practising.

Orienting Yourself: The Use of Coordinates — important questions & MCQs with answers (Class 9 Mathematics)

6 solved questions from this chapter's difficulty levels, each with its answer and explanation. Tap an option to check yourself.

  1. Q1Easy

    In which quadrant does the point (3, 5) lie?

    A coordinate grid with the x-axis and y-axis marked and numbered. A single point labelled (3, 5) is plotted on the grid.

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    Answer: 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.

  2. Q2Easy

    What is the abscissa of the point (6, -2)?

    Show answer

    Answer: 6

    Explanation: The abscissa is the first coordinate, the x-value. For (6, -2) that is 6 — not -2, which is the ordinate (y-value), a common mix-up between the two terms.

  3. Q3Medium

    Find the distance between the points (-3, -1) and (7, 23).

    A coordinate grid with two points labelled (-3, -1) and (7, 23), joined by a straight segment.

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    Answer: 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.

  4. Q4Medium

    If M(5, 5) is the midpoint of A(2, 3) and B, find B.

    A coordinate grid with point A(2, 3) and point M(5, 5), joined by a straight segment. M is the midpoint of segment AB, and B is not drawn.

    Show answer

    Answer: (8, 7)

    Explanation: Since M is the midpoint of A and B, doubling M and subtracting A recovers the far endpoint: B=(2·5−2, 2·5−3)=(8, 7). Flipping every sign instead would give the wrong point (-8, -7).

  5. Q5Hard

    Are the points (1, 1), (2, 3), (3, 5) collinear?

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    Answer: Collinear — the slope is 2 throughout

    Explanation: Check whether the slope stays constant between consecutive points: from (1,1) to (2,3) it's (3-1)/(2-1)=2, and from (2,3) to (3,5) it's also 2 — equal slopes mean the three points are collinear.

  6. Q6Hard

    Classify the triangle with vertices (0, 0), (4, 0) and (0, 3) by its sides.

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    Answer: scalene

    Explanation: Computing each side with the distance formula gives lengths 4, 5 and 3 — all different, so the triangle is scalene. It does have a right angle (3² + 4² = 5²), but no two sides are equal, so it is not an isosceles right triangle.

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.
A coordinate plane: the horizontal x-axis and the vertical y-axis cross at the origin O and cut the plane into four quadrants. Top right is Quadrant I with signs (+, +); top left is Quadrant II with (−, +); bottom left is Quadrant III with (−, −); bottom right is Quadrant IV with (+, −).
Points on the axes
A point on the x-axis has y = 0 and looks like (a, 0); a point on the y-axis has x = 0 and looks like (0, b). Points on an axis belong to no quadrant.
Plotting a point
Move x units along the x-axis from the origin, then y units parallel to the y-axis. Reversing the order lands you somewhere else entirely.
A coordinate grid numbered 1 to 5 on both axes. From the origin O a green arrow runs 4 units along the x-axis, then a second green arrow runs 2 units up, parallel to the y-axis, ending at the point P(4, 2). The point Q(2, 4), with the same two numbers in the other order, is marked in a different place.
Distance formula
The straight-line distance between two points, obtained by applying Pythagoras to the horizontal and vertical gaps between them.
Two points A(x₁, y₁) and B(x₂, y₂) on a coordinate plane, joined by the segment AB. A horizontal line from A and a vertical line from B meet at C(x₂, y₁) at a right angle, making a right triangle. The horizontal side AC is marked x₂ − x₁, the vertical side CB is marked y₂ − y₁, and AB is the hypotenuse.
Midpoint
The point exactly halfway along a segment; its coordinates are the averages of the two endpoints' coordinates.
A segment from A(x₁, y₁) to B(x₂, y₂) on a coordinate plane. Its midpoint M is marked; the two halves AM and MB carry equal tick marks. M has coordinates ((x₁ + x₂)/2, (y₁ + y₂)/2).
Collinear points
Three points lying on one straight line. Test by distances: if AB + BC = AC, then B lies between A and C and all three are collinear.
Equidistant point
A point the same distance from two others. Setting the two distance expressions equal and squaring both sides gives an equation the point must satisfy.
Reflection in an axis
Reflecting across the x-axis flips the sign of y, giving (x, −y); reflecting across the y-axis flips the sign of x, giving (−x, y).
A point P(x, y) in the first quadrant. Its reflection in the x-axis is the point (x, −y) straight below it, the same distance under the axis; its reflection in the y-axis is the point (−x, y) straight across, the same distance to the left. Dashed lines join P to each image, crossing the axis at right angles, with equal tick marks on the two halves.
Identifying a figure from coordinates
Compute side lengths and diagonals: equal opposite sides mean a parallelogram, all four sides equal a rhombus, and equal diagonals distinguish a rectangle or square.
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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, Points on the axes, Plotting a point.

What does Class 9 Mathematics Chapter 1 (Orienting Yourself: The Use of Coordinates) cover on XamBaaz?+

It has 90 NCERT-based MCQs on "Orienting Yourself: The Use of Coordinates": 30 Easy, 30 Medium and 30 Hard. Together they make 9 timed quizzes, and you never get the same set twice. Every question has an instant explanation. They help you prepare 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. One year from the day you pay. You stay in Class 9 till 31 March; on 1 April your account moves up to Class 10 and the rest of your year carries over. No chapter is charged separately.

How should I revise "Orienting Yourself: The Use of Coordinates" for the exam?+

Start with the Easy quiz to check your basics, then try Medium and Hard to practise applying them. There are 9 timed quizzes on this chapter, so you can come back for a fresh set instead of one you have seen. Read each explanation, retry the questions you miss, and track your accuracy until it stays high.

Are these "Orienting Yourself: The Use of Coordinates" MCQs available with answers?+

Yes. 6 sample questions are on this page with answers: tap an option, or "Show answer", to see the correct option and a step-by-step explanation. Sign in free with Google to start practising, with instant scoring.

Is there negative marking in the "Orienting Yourself: The Use of Coordinates" quizzes?+

Yes. The timed quizzes use exam-style marking: +4 for a right answer, −1 for a wrong one and 0 for a skip. MHT-CET and CBSE board papers have no negative marking. Our mocks for those are scored their way.

What are the important questions from Orienting Yourself: The Use of Coordinates (Class 9 Mathematics)?+

The questions that matter most test Cartesian plane, Origin, Coordinates (ordered pair), Quadrants, Points on the axes, Plotting a point. This page shows 6 solved important MCQs with answers and explanations. Sign in to practise all 90 questions on the chapter as timed quizzes.

Is there an online quiz for Orienting Yourself: The Use of Coordinates?+

Yes — Class 9 Mathematics Orienting Yourself: The Use of Coordinates has timed online quizzes at Easy, Medium and Hard levels, with instant scoring and a worked explanation on every question. The first quiz on the chapter is free.

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