MP Board · Class 10 · Mathematics · Coordinate GeometryThe distance between the points (2, 3) and (4, 1) is:
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Step-by-Step Solution
Using the distance formula $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$, we substitute $(x_1, y_1) = (2, 3)$ and $(x_2, y_2) = (4, 1)$. This gives $\sqrt{(4 - 2)^2 + (1 - 3)^2} = \sqrt{(2)^2 + (-2)^2} = \sqrt{4 + 4} = \sqrt{8} = 2\sqrt{2}$ units. Therefore, the correct option is C.
Detailed Options Breakdown
Option : 2 units
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Coordinate Geometry.
Option 1: \sqrt{2} units
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Coordinate Geometry.
Option 2: 2\sqrt{2} units (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: 4 units
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Coordinate Geometry.
💡 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.