Coordinates — Important Questions
Kerala Board · Class 10 · Mathematics
44 important questions from Coordinates for Kerala Board Class 10 Mathematics, with answers. Includes multiple choice and multiple correct questions.
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Important Questions from Coordinates
Which of the following are properties of points on the y-axis? (Select all correct answers)
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x-coordinate is 0, They form a vertical line, Distance from y-axis is 0
Points on the y-axis have x-coordinate = 0 (not y-coordinate = 0). They form a vertical line and are at zero distance from the y-axis itself.
What is the distance between the origin and the point (3, 4)?
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5
Step 1: Use distance formula from origin: d = √(x² + y²). Step 2: d = √(3² + 4²) = √(9 + 16) = √25 = 5 units.
If a rectangle has vertices at (1, 2), (1, 5), (4, 5), and (4, 2), which sides are parallel to the x-axis?
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Side from (1,2) to (4,2), Side from (1,5) to (4,5)
Sides parallel to x-axis have the same y-coordinate at both endpoints. Sides (1,2)-(4,2) and (1,5)-(4,5) both have constant y-coordinates.
Find the distance between points P(0, 3) and Q(4, 0).
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5
Step 1: Use distance formula: d = √[(x₂-x₁)² + (y₂-y₁)²]. Step 2: d = √[(4-0)² + (0-3)²] = √[16 + 9] = √25 = 5 units.
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Sources & Official References
- Kerala Board of Public Examinations — keralapareekshabhavan.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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