Straight Lines
Coordinate Geometry
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 \(d(P, L)\) denote perpendicular distance of point P from line L. If \(d(P, AB) \leq \min\{d(P, BC), d(P, CD), d(P, AD)\}\), then area of the region in which P lies is:</p>
<p>(a) \(\frac{17}{4}\)</p>
<p>(b) \(\frac{19}{4}\)</p>
Step-by-Step Solution
Key Concept: The condition \(d(P, AB) \leq \min\{d(P, BC), d(P, CD), d(P, AD)\}\) defines a region where P is closest to side AB. Find this region's area inside the rectangle.
<p>Solution not provided in the extracted text.</p>
Correct Answer: Unknown