CBSE · Class 10 · Mathematics · Coordinate GeometryThe coordinates of the midpoint of the line segment joining the points (1, 2) and (3, 4) are:
Step-by-Step Solution
The midpoint formula is given by $\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$. Substituting the coordinates $(1, 2)$ and $(3, 4)$, we get $\left(\frac{1 + 3}{2}, \frac{2 + 4}{2}\right) = \left(\frac{4}{2}, \frac{6}{2}\right) = (2, 3)$. Therefore, the correct option is A.
Detailed Options Breakdown
Option : (2, 3) (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: (1, 3)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Coordinate Geometry.
Option 2: (3, 2)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Coordinate Geometry.
Option 3: (2, 2)
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.