For a point P in the plane, let d 1 P and d 2 P be the distances 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…

Question

For a point P in the plane, let d 1 P and d 2 P be the distances 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 &#160; &#8804; d 1 P + d 2 P &#160; &#8804; 4 , is ________

Aicharya · Accepted Answer

2 ≤ d 1 p + d 2 p ≤ 4 For P α , β , α > β ⇒ 2 2 ≤ 2 α ≤ 4 2 2 ≤ α ≤ 2 2 ⇒ Area of region = 2 2 2 - 2 2 = 8 - 2 = 6 s q . u n i t s

For a point P in the plane, let d 1 P and d 2 P be the distances of the point P from the lines x - y = 0 and…

Solution