Co-ordinate Geometry
Maharashtra Board · Class 10 · Mathematics
Most important questions from Co-ordinate Geometry for Maharashtra Board Class 10 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.
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Which of the following are correct about the distance formula? (Select all correct options)
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Distance is always positive, It's based on Pythagoras theorem, Distance from origin to point (3,4) is 5, Formula is d = √[(x₂-x₁)² + (y₂-y₁)²]
Distance is always positive (absolute value), based on Pythagoras theorem. Distance from (0,0) to (3,4) = √(3²+4²) = 5. The standard formula is correctly stated.
The centroid of triangle with vertices A(0, 0), B(6, 0), and C(3, 6) is:
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(3, 2)
Using centroid formula: G = ((x₁+x₂+x₃)/3, (y₁+y₂+y₃)/3) = ((0+6+3)/3, (0+0+6)/3) = (9/3, 6/3) = (3, 2)
What is the slope of a line parallel to the x-axis?
Find the distance between points A(0, 0) and B(5, 12).
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13
Using distance formula: d = √[(5-0)² + (12-0)²] = √[25 + 144] = √169 = 13. This is a 5-12-13 Pythagorean triplet.
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