Coordinate Geometry — Flashcards
Karnataka Board · Class 9 · Mathematics
20 flashcards for Coordinate Geometry (Karnataka Board Class 9 Mathematics) to test yourself on key terms and facts.
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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…
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.
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…
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)…
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…
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…
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…
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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Sources & Official References
- Karnataka SSLC — kseeb.kar.nic.in
- Dept of Pre-University Education, Karnataka
- National Education Policy 2020 — education.gov.in
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