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Please answer this question I am having difficulty solving it...... Suppose we define the distance between two points P(x1,y1) and Q(x2,y2) as d(P,Q) = max{ |x2-x1| , |y2-y1| } , then : Answer: Suppose that points A and B have co-ordinates (1,0) and (-1,0) respectively, then for a variable point P on this plane the equation d(P,A) + d(P,B) = 2 represents :- a) line segment joining A and B b) an ellipse with foci A and B ​c) region lying inside a square of area 2 ​d) region inside a semi-circle with AB as diameter 2. Suppose that points A and B have coordinates (1,0) and (-1,0) respectively, then the area of the region bounded by the curves on which P lies, with {d(A,P)}^2 + {d(B,P)}^2 = 4 is : 4 pi (2/3)[4pi – 3((3)^(1/2) + 1) 16 (2pi + 3^(1/2))/4

Please answer this question I am having difficulty solving it......
 
Suppose we define the distance between two points P(x1,y1) and Q(x2,y2) as d(P,Q) = max{ |x2-x1| , |y2-y1| } , then :
 
Answer:
  1. Suppose that points A and B have co-ordinates (1,0) and (-1,0) respectively, then for a variable point P on this plane the equation d(P,A) + d(P,B) = 2 represents :-
a) line segment joining A and B
b) an ellipse with foci A and B
​c) region lying inside a square of area 2
​d) region inside a semi-circle with AB as diameter
 
         2. Suppose that points A and B have coordinates (1,0) and (-1,0) respectively, then the area of the region bounded by the curves on which P lies, with {d(A,P)}^2 + {d(B,P)}^2 = 4 is :
  1. 4 pi
  2. (2/3)[4pi – 3((3)^(1/2) + 1)
  3. 16
  4. (2pi + 3^(1/2))/4

Grade:12th pass

1 Answers

Deepak Kumar Shringi
askIITians Faculty 4404 Points
6 years ago
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