Straight Lines
Distance from Point to Line
Grade 11
Question:
<p>If <i>d</i>(P, AB) ≥ max{<i>d</i>(P, BC), <i>d</i>(P, CD), <i>d</i>(P, AD)}, then area of the region in which P lies is:</p>
<p>(a) 1</p>
<p>(b) <i>1/2</i></p>
<p>(c) <i>3/4</i></p>
<p>(d) <i>1/4</i></p>
Step-by-Step Solution
Key Concept: The region where distance to one side dominates all others forms a rectangular strip of specific dimensions based on the constraints.
<p>This problem involves finding the region where the distance to side AB is greater than or equal to the distances to all other sides of a rectangle ABCD. The region satisfying this condition forms an area of 1 square unit.</p>
Correct Answer: a