CBSE · Class 10 · Mathematics · Coordinate GeometryIf the distance between the points $(x, 2)$ and $(3, 4)$ is 2, then the value of x is:
Step-by-Step Solution
Using the distance formula: $\sqrt{(3 - x)^2 + (4 - 2)^2} = 2$. Squaring both sides: $(3 - x)^2 + (2)^2 = 4 \implies (3 - x)^2 + 4 = 4 \implies (3 - x)^2 = 0 \implies 3 - x = 0 \implies x = 3$. Therefore, the correct option is A.
Detailed Options Breakdown
Option : 3 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: 2
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Coordinate Geometry.
Option 2: 4
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Coordinate Geometry.
Option 3: 0
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.