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Chapter 5 of 12
Flashcards

Coordinate Geometry

Karnataka Board · Class 9 · Mathematics

Flashcards for Coordinate Geometry — Karnataka Board Class 9 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

45 questions20 flashcards5 concepts
20 Flashcards
Card 1Plotting Points

Plot the point P(4, -3) and identify which quadrant it lies in.

Answer

Step 1: Start at origin (0,0). Step 2: Move 4 units right along x-axis (positive x). Step 3: Move 3 units down along y-axis (negative y). Step 4: Mark point P. Since x > 0 and y < 0, point P(4, -3) li

Card 2Finding Coordinates

Find the coordinates of a point that is 5 units left of origin and 2 units above the x-axis.

Answer

Step 1: 5 units left means x-coordinate = -5. Step 2: 2 units above x-axis means y-coordinate = +2. Step 3: Coordinates = (-5, 2). Verification: Point is in Quadrant II where x < 0 and y > 0.

Card 3Points on Axes

A point has coordinates (-3, 0). Where does this point lie?

Answer

Step 1: x-coordinate = -3 (3 units left of origin). Step 2: y-coordinate = 0 (no vertical distance). Step 3: Since y = 0, the point lies on the x-axis. Step 4: Since x = -3 < 0, it lies on the negativ

Card 4Points on Axes

List all points with integer coordinates that are exactly 2 units away from the origin along the axes.

Answer

Step 1: Points on x-axis, 2 units from origin: (2, 0) and (-2, 0). Step 2: Points on y-axis, 2 units from origin: (0, 2) and (0, -2). Step 3: Total points = 4. Answer: (2, 0), (-2, 0), (0, 2), (0, -2)

Card 5Identifying Quadrants

In which quadrants do these points lie: A(5, 7), B(-2, 3), C(-4, -1), D(6, -8)?

Answer

Step 1: A(5, 7) → x > 0, y > 0 → Quadrant I. Step 2: B(-2, 3) → x < 0, y > 0 → Quadrant II. Step 3: C(-4, -1) → x < 0, y < 0 → Quadrant III. Step 4: D(6, -8) → x > 0, y < 0 → Quadrant IV. Answer: A-QI

Card 6Origin

What are the coordinates of the origin and why is it special?

Answer

Step 1: Origin is the intersection of x-axis and y-axis. Step 2: Distance from both axes = 0. Step 3: Coordinates = (0, 0). Step 4: Special because: It's the reference point for all measurements, divi

Card 7Quadrant Rules

If a point has coordinates (a, b) where a > 0 and b < 0, which quadrant is it in?

Answer

Step 1: a > 0 means x-coordinate is positive (right side of y-axis). Step 2: b < 0 means y-coordinate is negative (below x-axis). Step 3: Positive x, negative y corresponds to Quadrant IV. Answer: Qua

Card 8Geometric Shapes

Plot points A(3, 2), B(3, -4), and C(-2, -4). What type of figure do they form?

Answer

Step 1: A(3, 2) in QI, B(3, -4) in QIV, C(-2, -4) in QIII. Step 2: A and B have same x-coordinate (vertical line). Step 3: B and C have same y-coordinate (horizontal line). Step 4: They form a right a

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Frequently Asked Questions

What are the important topics in Coordinate Geometry for Karnataka Board Class 9 Mathematics?

Coordinate Geometry covers several key topics that are frequently asked in Karnataka Board Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.

Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.

There are 20 flashcards for Coordinate Geometry covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

Sources & Official References

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