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Distance between Points - Math, Class 10 Video Lecture

FAQs on Distance between Points - Math, Class 10 Video Lecture

1. What is the formula to calculate the distance between two points on a coordinate plane?
Ans. The formula to calculate the distance between two points (x1, y1) and (x2, y2) on a coordinate plane is given by the distance formula: Distance = √((x2 - x1)^2 + (y2 - y1)^2).
2. How can I find the distance between two points if the coordinates are given?
Ans. To find the distance between two points with given coordinates, substitute the values into the distance formula: Distance = √((x2 - x1)^2 + (y2 - y1)^2). Calculate the difference between the x-coordinates and the y-coordinates, square them, add the squares, and then take the square root of the sum to get the distance.
3. Can the distance between two points be negative?
Ans. No, the distance between two points cannot be negative. Distance is always a positive value as it represents the length of the line segment connecting the two points. Negative distances do not have a physical meaning in this context.
4. If the coordinates of one point are (0, 0), will the distance formula be simplified?
Ans. Yes, if one of the points has coordinates (0, 0), the distance formula can be simplified. When one point is the origin, the distance formula becomes: Distance = √(x^2 + y^2), where (x, y) are the coordinates of the other point.
5. Is the distance between two points always an integer?
Ans. No, the distance between two points on a coordinate plane is not always an integer. The distance is determined by the coordinates of the points, and it can be a whole number, a decimal, or even an irrational number. It depends on the specific values of the coordinates.
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