Class 10 Exam > Class 10 Videos > Mathematics (Maths) Class 10 > Distance Formula
Distance Formula Video Lecture | Mathematics (Maths) Class 10
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FAQs on Distance Formula Video Lecture - Mathematics (Maths) Class 10
| 1. What is the distance formula? |  |
Ans. The distance formula is a mathematical formula used to calculate the distance between two points in a coordinate plane. It is derived from the Pythagorean theorem and is expressed as √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of the two points.
| 2. How is the distance formula derived from the Pythagorean theorem? | |
Ans. The distance formula is derived from the Pythagorean theorem by considering the coordinates of two points as the lengths of the legs of a right triangle. By drawing a right triangle with the horizontal and vertical distances between the two points as the legs, the distance formula can be obtained by applying the Pythagorean theorem.
| 3. How can the distance formula be applied in real-life situations? | |
Ans. The distance formula can be applied in various real-life situations, such as calculating the distance between two cities on a map, determining the length of a diagonal in a rectangular room, finding the distance between two coordinates in GPS navigation systems, or measuring the distance between two players in a sports field.
| 4. Can the distance formula be used in three-dimensional space? | |
Ans. No, the distance formula provided is applicable only in a two-dimensional coordinate plane. In three-dimensional space, the distance between two points is calculated using a different formula, known as the three-dimensional distance formula, which considers the third coordinate.
| 5. Is the distance formula the only way to find the distance between two points? | |
Ans. No, the distance formula is not the only way to find the distance between two points. Other methods, such as using the midpoint formula and then applying the Pythagorean theorem, or directly calculating the Euclidean distance using the coordinates, can also be employed to determine the distance between two points.
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Dec 23, 2024 Last updated |
Video Description: Distance Formula for Class 10 2024 is part of Mathematics (Maths) Class 10 preparation.
The notes and questions for Distance Formula have been prepared according to the Class 10 exam syllabus.
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Video Lecture & Questions for Distance Formula Video Lecture | Mathematics (Maths) Class 10 - Class 10 full syllabus preparation | Free video for Class 10 exam to prepare for Mathematics (Maths) Class 10.
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