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Finding the Distance between Two Points Video Lecture | Quantitative Aptitude (Quant) - CAT

FAQs on Finding the Distance between Two Points Video Lecture - Quantitative Aptitude (Quant) - CAT

1. What is the formula for finding the distance between two points in a Cartesian plane?
Ans. The formula for finding the distance \(d\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) in a Cartesian plane is given by: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
2. How do I calculate the distance between two points if they have negative coordinates?
Ans. The distance can still be calculated using the same distance formula. The presence of negative coordinates does not affect the calculation; just substitute the coordinates into the formula: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
3. Can the distance between two points ever be zero?
Ans. Yes, the distance between two points can be zero if both points are the same, meaning their coordinates are identical. In this case, \(d = 0\).
4. What are the units of measurement for distance when calculating between two points?
Ans. The units of measurement for distance depend on the units used for the coordinates of the points. For example, if the coordinates are in meters, the distance will also be in meters.
5. How can the distance formula be applied in real-world scenarios?
Ans. The distance formula can be applied in various real-world scenarios, such as calculating the distance between two locations on a map, determining the shortest path in navigation, and in fields like physics and engineering to measure distances between objects.
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