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        A point P(x,y) moves so that the sum of the distance from P to the coordinate axes is equal to the distance from P to the point A(1,1).The equation ot the locus of P in the first quadrant is ?
2 years ago

Arun
23819 Points
							Distance between P and x -axis = yDistance between P and y-axis = xDistance between P and A(1, 1) =$\sqrt$(x-1)² + (y-1)²According to the question,x + y = $\sqrt$(x-1)² + (y-1)²On squaring both sides, we getx² +y² + 2xy = x² +1 -2x + y² +1 -2y2xy +2x +2y = 2xy + x +y -1 = 0This is the locus of point P(x, y).

2 years ago
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