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 Bb) an ellipse with foci A and Bc) region lying inside a square of area 2d) region inside a semi-circle with AB as diameter2. 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
SAUNAK ROY , 7 Years ago
Grade 12th pass
