CBSE · Class 10 · Mathematics · Coordinate GeometryFind the distance between the points A(-2, 3) and B(4, 5).
Step-by-Step Solution
Distance Between Two Points \nThe distance between two points (x1, y1) and (x2, y2) can be found using the distance formula, which is given by:
√((x2 - x1)^2 + (y2 - y1)^2) \nUsing this formula, we can find the distance between points A(-2, 3) and B(4, 5).
√((4 - (-2))^2 + (5 - 3)^2)
√((6)^2 + (2)^2)
√(36 + 4)
√40
√(4 * 10)
√4 * √10
2√10 \nTherefore, the distance between points A(-2, 3) and B(4, 5) is 2√10.
💡 Study Guide: This question tests core syllabus concepts from Coordinate Geometry. For formulas, key summaries, and mock exam reference guides, read the full Coordinate Geometry Revision Notes.