Coordinate Geometry
Area of Regions
Grade 11
Question:
<p>Let A ∈ (0, 0), B ∈ (5, 0), C ∈ (5, 3) and D ∈ (0, 3) are the vertices of rectangle ABCD. If P is a variable point lying inside the rectangle ABCD and d(P, L) denotes perpendicular distance of point P from line L. If d(P, AB) ≤ min{d(P, BC), d(P, CD), d(P, AD)}, then area of the region in which P lies is :</p>
<p>(a) 17/4</p>
<p>(b) 19/4</p>
Step-by-Step Solution
Key Concept: The condition d(P, AB) ≤ min{d(P, BC), d(P, CD), d(P, AD)} means P is closest to side AB among all four sides. Identify the region where this holds and compute its area.
<p>Solution not provided in the text.</p>
Correct Answer: A