Published by:
CGP EDU Academic Team
Published on: August 14, 2026
For a point P in the plane, let d 1 (P) and d 2 (P) be the distance of the point P from the lines x – y = 0 and x + y = 0 respectively. The area of the region R consisting of all points P lying in the first quadrant of the plane and satisfying 2 ≤ d 1 (P) + d 2 (P) ≤ 4, is
Text Solution
Verified by ExpertsThe correct answer is:
6
(6)
Sol. let p(h, k)
2 ≤ 
⇒ 
≤ |h – k| + |h + k| ≤ 
if h 
k
⇒ 
≤ x – y + x + y ≤ 
or 
similarly when k > h
we have 
≤ y ≤ 2 
The required area = 
= 6.
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems