NCERT · Class 10 · Mathematics · Coordinate GeometryThe area of a triangle formed by the points $(0, 0)$, $(3, 0)$ and $(0, 4)$ is:
Step-by-Step Solution
The points form a right-angled triangle on the coordinate plane with a base of length 3 units along the x-axis and a height of 4 units along the y-axis. Area = $\frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 3 \times 4 = 6$ square units. Therefore, the correct option is B.
Detailed Options Breakdown
Option : 12 sq. units
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Coordinate Geometry.
Option 1: 6 sq. units (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 3 sq. units
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Coordinate Geometry.
Option 3: 7 sq. 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.