Class 10 Exam > Class 10 Videos > 03 - Distance Formula (Problem Solving) - Class 10 - Maths
03 - Distance Formula (Problem Solving) - Class 10 - Maths Video Lecture
FAQs on 03 - Distance Formula (Problem Solving) - Class 10 - Maths Video Lecture
| 1. What is the distance formula in mathematics and how is it used? |  |
Ans. The distance formula in mathematics is a formula used to find the distance between two points in a coordinate plane. It is derived from the Pythagorean theorem and is given as:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points. To use the distance formula, you need to know the coordinates of the two points and substitute them into the formula to calculate the distance.
| 2. How can the distance formula be applied to solve real-life problems? | |
Ans. The distance formula can be applied to solve various real-life problems. For example, it can be used to calculate the distance between two cities on a map, the length of a diagonal of a rectangle, or the shortest distance between two objects in a plane. By substituting the coordinates of the given points into the formula, you can find the precise distance between them, which can be helpful in various fields such as navigation, geometry, and physics.
| 3. Can the distance formula be used in three-dimensional space? | |
Ans. No, the distance formula mentioned in the article is specifically applicable to a two-dimensional coordinate plane. However, a similar formula called the three-dimensional distance formula can be used to find the distance between two points in three-dimensional space. The three-dimensional distance formula is given as:
Distance = √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)
where (x1, y1, z1) and (x2, y2, z2) are the coordinates of the two points in three-dimensional space. By substituting the coordinates of the points into this formula, you can calculate the distance between them in three-dimensional space.
| 4. Is the distance formula applicable only to straight lines? | |
Ans. No, the distance formula is not limited to calculating distances on straight lines. It can be used to find the distance between any two points in a coordinate plane, regardless of whether the points are connected by a straight line or a curved path. The formula calculates the shortest distance between the two points, which can be a straight line or a curved line. Therefore, the distance formula is applicable to both straight and curved paths.
| 5. Is the distance formula the same as the Pythagorean theorem? | |
Ans. The distance formula is derived from the Pythagorean theorem but serves a different purpose. The Pythagorean theorem is used to find the length of the hypotenuse of a right-angled triangle, while the distance formula is used to find the distance between two points in a coordinate plane. The distance formula is a generalization of the Pythagorean theorem and can be applied to any two points, not just those forming a right-angled triangle. Therefore, while they are related, the distance formula and the Pythagorean theorem are not the same.
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Dec 23, 2024 Last updated |
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