Co-ordinate Geometry
Maharashtra Board · Class 10 · Mathematics
Practice quiz for Co-ordinate Geometry — Maharashtra Board Class 10 Mathematics. MCQs and questions with answers to test your preparation.
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Quick Quiz: Co-ordinate Geometry
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Find the distance between points A(3, 4) and B(6, 8).
What is the midpoint of the line segment joining points P(2, 6) and Q(8, 10)?
Find the slope of the line passing through points A(1, 3) and B(4, 9).
If point P divides the line segment joining A(2, 3) and B(8, 9) in the ratio 1:2, find the coordinates of P.
Sample Questions
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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