Coordinate geometry · निर्देशांक ज्यामिति
Type two points — get the distance, mid-point and section point with steps.
Coordinate geometry games
Coordinate geometry calculator · निर्देशांक ज्यामिति
Formulas
| Quadrants | I (+,+) · II (−,+) · III (−,−) · IV (+,−) |
|---|---|
| Distance | √[(x₂ − x₁)² + (y₂ − y₁)²] |
| Mid-point | ((x₁ + x₂)/2, (y₁ + y₂)/2) |
| Section formula (m:n) | ((mx₂ + nx₁)/(m + n), (my₂ + ny₁)/(m + n)) |
The x-coordinate is the abscissa, the y-coordinate the ordinate. On the x-axis y = 0; on the y-axis x = 0.
For Class 9 and 10 (NCERT Mathematics 9 and 10, “Coordinate Geometry”). Practice answers computed and checked by a program.
A one-page chart to stick on the wall, and a worksheet to practise.
Coordinate geometry
Distance √[(x₂−x₁)² + (y₂−y₁)²] · Mid-point ((x₁+x₂)/2, (y₁+y₂)/2) · Section ((mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n))
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Coordinate geometry — worksheet
Name: ____________________ Class: ______ Date: __________
1. Distance between (1, 2) and (4, 6) = ____
2. Mid-point of (−3, 5) and (7, −1) = ____
3. Point dividing (2, 3) and (8, 9) in 1:2 = ____
4. Find x if the distance between (x, 2) and (3, 6) is 5.
5. Plot (2, −3), (−4, 1), (0, 5) and name the quadrant or axis.
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