NCERT · Class 10 · Mathematics · Coordinate GeometryWhat is the distance of the point P(3, 4) from the origin?
Step-by-Step Solution
The distance of a point P(x, y) from the origin is given by the formula $\sqrt{x^2 + y^2}$. Substituting the given coordinates x = 3 and y = 4, we get $\sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5$ units. Therefore, the correct option is B.
Detailed Options Breakdown
Option : 3 units
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Coordinate Geometry.
Option 1: 5 units (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 4 units
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Coordinate Geometry.
Option 3: 7 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.